What is the Least Common Multiple of 15616 and 15624?

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 15616 and 15624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15616 and 15624, than apply into the LCM equation.

GCF(15616,15624) = 8
LCM(15616,15624) = ( 15616 × 15624) / 8
LCM(15616,15624) = 243984384 / 8
LCM(15616,15624) = 30498048

Least Common Multiple (LCM) of 15616 and 15624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15616 and 15624. First we will calculate the prime factors of 15616 and 15624.

Prime Factorization of 15616

Prime Factorization of 15624

Now multiplying the highest exponent prime factors to calculate the LCM of 15616 and 15624.

LCM(15616,15624) = 2⁸ × 61¹ × 3² × 7¹ × 31¹
LCM(15616,15624) = 30498048