What is the Least Common Multiple of 28938 and 28953?

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 28938 and 28953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28938 and 28953, than apply into the LCM equation.

GCF(28938,28953) = 3
LCM(28938,28953) = ( 28938 × 28953) / 3
LCM(28938,28953) = 837841914 / 3
LCM(28938,28953) = 279280638

Least Common Multiple (LCM) of 28938 and 28953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28938 and 28953. First we will calculate the prime factors of 28938 and 28953.

Prime Factorization of 28938

Prime Factorization of 28953

Now multiplying the highest exponent prime factors to calculate the LCM of 28938 and 28953.

LCM(28938,28953) = 2¹ × 3² × 7¹ × 13¹ × 53¹ × 3217¹
LCM(28938,28953) = 279280638