What is the Least Common Multiple of 5616 and 5624?

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 5616 and 5624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5616 and 5624, than apply into the LCM equation.

GCF(5616,5624) = 8
LCM(5616,5624) = ( 5616 × 5624) / 8
LCM(5616,5624) = 31584384 / 8
LCM(5616,5624) = 3948048

Least Common Multiple (LCM) of 5616 and 5624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5616 and 5624. First we will calculate the prime factors of 5616 and 5624.

Prime Factorization of 5616

Prime Factorization of 5624

Now multiplying the highest exponent prime factors to calculate the LCM of 5616 and 5624.

LCM(5616,5624) = 2⁴ × 3³ × 13¹ × 19¹ × 37¹
LCM(5616,5624) = 3948048