What is the Least Common Multiple of 5612 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 5612 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 5612 and 5624, than apply into the LCM equation.

GCF(5612,5624) = 4
LCM(5612,5624) = ( 5612 × 5624) / 4
LCM(5612,5624) = 31561888 / 4
LCM(5612,5624) = 7890472

Least Common Multiple (LCM) of 5612 and 5624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5612 and 5624. First we will calculate the prime factors of 5612 and 5624.

Prime Factorization of 5612

Prime Factorization of 5624

Now multiplying the highest exponent prime factors to calculate the LCM of 5612 and 5624.

LCM(5612,5624) = 2³ × 23¹ × 61¹ × 19¹ × 37¹
LCM(5612,5624) = 7890472