What is the Least Common Multiple of 29712 and 29724?

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 29712 and 29724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29712 and 29724, than apply into the LCM equation.

GCF(29712,29724) = 12
LCM(29712,29724) = ( 29712 × 29724) / 12
LCM(29712,29724) = 883159488 / 12
LCM(29712,29724) = 73596624

Least Common Multiple (LCM) of 29712 and 29724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29712 and 29724. First we will calculate the prime factors of 29712 and 29724.

Prime Factorization of 29712

Prime Factorization of 29724

Now multiplying the highest exponent prime factors to calculate the LCM of 29712 and 29724.

LCM(29712,29724) = 2⁴ × 3¹ × 619¹ × 2477¹
LCM(29712,29724) = 73596624