What is the Least Common Multiple of 15624 and 15632?

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 15624 and 15632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15624 and 15632, than apply into the LCM equation.

GCF(15624,15632) = 8
LCM(15624,15632) = ( 15624 × 15632) / 8
LCM(15624,15632) = 244234368 / 8
LCM(15624,15632) = 30529296

Least Common Multiple (LCM) of 15624 and 15632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15624 and 15632. First we will calculate the prime factors of 15624 and 15632.

Prime Factorization of 15624

Prime Factorization of 15632

Now multiplying the highest exponent prime factors to calculate the LCM of 15624 and 15632.

LCM(15624,15632) = 2⁴ × 3² × 7¹ × 31¹ × 977¹
LCM(15624,15632) = 30529296