How do you find the LCM of 7 and 9?

Question

Gabriel Agustin · Accepted Answer

#LCM = 7 xx9 = 63# #7 and 9# have no common factor (apart from #1#). Therefore the #LCM# must contain the whole #7# and the whole #9#. #LCM = 7 xx9 = 63# This is clear if we write #7 and 9# as the product of the prime factors: #" "7 = 7# #ul(" "9= " "3xx3)# #LCM = 7 xx 3xx3 =63#

Noah Archer · Answer

63

Since the only number that #7# and #9# go into evenly is #63# we must consider this simple step: #7*9=63# A least common multiple is the smallest unit that both numbers can evenly be divided by. Since you can evenly divide #63# by both #7# and #9# the following is true: #63# is the least common multiple of #7# and #9#. In response, 63

Jeremiah Andrews · Answer

undefined To find the least common multiple (LCM) of 7 and 9, you can use the prime factorization method.

Step 1: Find the prime factorization of each number:
- Prime factorization of 7: 7 is a prime number, so its prime factorization is 7.
- Prime factorization of 9: 9 = 3 * 3 (since 3 is a prime number and 3 * 3 = 9).

Step 2: Identify the highest power of each prime factor:
- The prime factorization of 7 contains one factor of 7.
- The prime factorization of 9 contains two factors of 3.

Step 3: Multiply the highest powers of all prime factors:
$$ LCM(7, 9) = 7 * 3^2 = 7 * 9 = 63 $$

Therefore, the least common multiple of 7 and 9 is 63.