What is the Least Common Multiple of 4542 and 4557?

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 4542 and 4557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4542 and 4557, than apply into the LCM equation.

GCF(4542,4557) = 3
LCM(4542,4557) = ( 4542 × 4557) / 3
LCM(4542,4557) = 20697894 / 3
LCM(4542,4557) = 6899298

Least Common Multiple (LCM) of 4542 and 4557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4542 and 4557. First we will calculate the prime factors of 4542 and 4557.

Prime Factorization of 4542

Prime Factorization of 4557

Now multiplying the highest exponent prime factors to calculate the LCM of 4542 and 4557.

LCM(4542,4557) = 2¹ × 3¹ × 757¹ × 7² × 31¹
LCM(4542,4557) = 6899298