What is the Least Common Multiple of 53541 and 53548?

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 53541 and 53548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53541 and 53548, than apply into the LCM equation.

GCF(53541,53548) = 1
LCM(53541,53548) = ( 53541 × 53548) / 1
LCM(53541,53548) = 2867013468 / 1
LCM(53541,53548) = 2867013468

Least Common Multiple (LCM) of 53541 and 53548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53541 and 53548. First we will calculate the prime factors of 53541 and 53548.

Prime Factorization of 53541

Prime Factorization of 53548

Now multiplying the highest exponent prime factors to calculate the LCM of 53541 and 53548.

LCM(53541,53548) = 3⁴ × 661¹ × 2² × 11¹ × 1217¹
LCM(53541,53548) = 2867013468