What is the Least Common Multiple of 5624 and 5636?

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 5624 and 5636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5624 and 5636, than apply into the LCM equation.

GCF(5624,5636) = 4
LCM(5624,5636) = ( 5624 × 5636) / 4
LCM(5624,5636) = 31696864 / 4
LCM(5624,5636) = 7924216

Least Common Multiple (LCM) of 5624 and 5636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5624 and 5636. First we will calculate the prime factors of 5624 and 5636.

Prime Factorization of 5624

Prime Factorization of 5636

Now multiplying the highest exponent prime factors to calculate the LCM of 5624 and 5636.

LCM(5624,5636) = 2³ × 19¹ × 37¹ × 1409¹
LCM(5624,5636) = 7924216