Question

Find the LCM of 243 and 36

Answer 1

243: 243

36: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. 36

Using Prime Factorization:

243 = 3 × 3 × 3 × 3 × 3

Find the prime factorization of 36

36 = 2 × 2 × 3 × 3

LCM = 2 × 2 × 3 × 3 × 3 × 3 × 3

LCM = 972

Answer 2

the lcm would be 972

Explanation:

Find the prime factorization of 243

243 = 3 × 3 × 3 × 3 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 3 × 3 × 3 × 3 × 3