Question

L.C.M. of 23 × 32 and 22 × 33 is ________

Answer 1

Step-by-step explanation:

Find the prime factorization of 23

23 = 23

Find the prime factorization of 32

32 = 2 × 2 × 2 × 2 × 2

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

LCM = 2 × 2 × 2 × 2 × 2 × 23

LCM = 736

Least Common Multiple of 22 and 33

Least common multiple (LCM) of 22 and 33 is 66.