How do you find the Least common multiple of 14, 6?

Answer 1

#L.C.M(14,6)=42#

There are two ways to find #" "L.C.M(14,6)# #" "# First method: #" "# List the multiples of 14 . #" "# List the multiples of 6. #" "# Choose the non-zero common multiple between the two lists. #" "# Let us apply it: #" "# Multiples of 14 are: #" "# #" "0," "14," "28," "42.........# #" "# Multiples of 6 are : #" "# #" "0," "6," "12," "18," "24," "30," "36," "42........# #" "# Therefore, #" "L.C.M(14,6) = 42# #" "# #" "# Second method: #" "# Write the prime factorization of 14 and 6. #" "# Take all the prime numbers with highest exponent from the prime factorization. #" "# Ex :#" "color(blue)(9=3^2)" "and" "color(red)(6=2xx3)# #" "# #L.C.M(9,6) = color(blue)(3^2)xxcolor(red)2=18# #" "# Let us apply this method to find #" "L.C.M(14,6)#. #" "# #14=2xx7" " and " "6=2xx3# #" "# #L.C.M(14,6)=2xx3xx7=42#
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Answer 2

To find the least common multiple (LCM) of 14 and 6, first, list the prime factors of each number. Then, identify the highest power of each prime factor that appears in either number. Finally, multiply these highest powers together to find the LCM.

For 14, the prime factorization is (2 \times 7), and for 6, it is (2 \times 3).

The highest power of 2 is 1 (since it appears once in each factorization), and the highest power of 3 is 1 (since it only appears once in the factorization of 6). The highest power of 7 is 1 (since it only appears once in the factorization of 14).

Multiply these highest powers together: (2^1 \times 3^1 \times 7^1 = 2 \times 3 \times 7 = 42).

Therefore, the least common multiple of 14 and 6 is 42.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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