What is the Least Common Multiple of 83544 and 83548?

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 83544 and 83548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83544 and 83548, than apply into the LCM equation.

GCF(83544,83548) = 4
LCM(83544,83548) = ( 83544 × 83548) / 4
LCM(83544,83548) = 6979934112 / 4
LCM(83544,83548) = 1744983528

Least Common Multiple (LCM) of 83544 and 83548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83544 and 83548. First we will calculate the prime factors of 83544 and 83548.

Prime Factorization of 83544

Prime Factorization of 83548

Now multiplying the highest exponent prime factors to calculate the LCM of 83544 and 83548.

LCM(83544,83548) = 2³ × 3¹ × 59² × 20887¹
LCM(83544,83548) = 1744983528