What is the Least Common Multiple of 22536 and 22548?

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 22536 and 22548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22536 and 22548, than apply into the LCM equation.

GCF(22536,22548) = 12
LCM(22536,22548) = ( 22536 × 22548) / 12
LCM(22536,22548) = 508141728 / 12
LCM(22536,22548) = 42345144

Least Common Multiple (LCM) of 22536 and 22548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22536 and 22548. First we will calculate the prime factors of 22536 and 22548.

Prime Factorization of 22536

Prime Factorization of 22548

Now multiplying the highest exponent prime factors to calculate the LCM of 22536 and 22548.

LCM(22536,22548) = 2³ × 3² × 313¹ × 1879¹
LCM(22536,22548) = 42345144