What is the Least Common Multiple of 29532 and 29538?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 29532 and 29538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29532 and 29538, than apply into the LCM equation.

GCF(29532,29538) = 6
LCM(29532,29538) = ( 29532 × 29538) / 6
LCM(29532,29538) = 872316216 / 6
LCM(29532,29538) = 145386036

Least Common Multiple (LCM) of 29532 and 29538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29532 and 29538. First we will calculate the prime factors of 29532 and 29538.

Prime Factorization of 29532

Prime Factorization of 29538

Now multiplying the highest exponent prime factors to calculate the LCM of 29532 and 29538.

LCM(29532,29538) = 2² × 3³ × 23¹ × 107¹ × 547¹
LCM(29532,29538) = 145386036