What is the Least Common Multiple of 22544 and 22557?

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 22544 and 22557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22544 and 22557, than apply into the LCM equation.

GCF(22544,22557) = 1
LCM(22544,22557) = ( 22544 × 22557) / 1
LCM(22544,22557) = 508525008 / 1
LCM(22544,22557) = 508525008

Least Common Multiple (LCM) of 22544 and 22557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22544 and 22557. First we will calculate the prime factors of 22544 and 22557.

Prime Factorization of 22544

Prime Factorization of 22557

Now multiplying the highest exponent prime factors to calculate the LCM of 22544 and 22557.

LCM(22544,22557) = 2⁴ × 1409¹ × 3¹ × 73¹ × 103¹
LCM(22544,22557) = 508525008