What is the Least Common Multiple of 29564 and 29572?

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 29564 and 29572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29564 and 29572, than apply into the LCM equation.

GCF(29564,29572) = 4
LCM(29564,29572) = ( 29564 × 29572) / 4
LCM(29564,29572) = 874266608 / 4
LCM(29564,29572) = 218566652

Least Common Multiple (LCM) of 29564 and 29572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29564 and 29572. First we will calculate the prime factors of 29564 and 29572.

Prime Factorization of 29564

Prime Factorization of 29572

Now multiplying the highest exponent prime factors to calculate the LCM of 29564 and 29572.

LCM(29564,29572) = 2² × 19¹ × 389¹ × 7393¹
LCM(29564,29572) = 218566652