What is the Least Common Multiple of 28518 and 28532?

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 28518 and 28532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28518 and 28532, than apply into the LCM equation.

GCF(28518,28532) = 14
LCM(28518,28532) = ( 28518 × 28532) / 14
LCM(28518,28532) = 813675576 / 14
LCM(28518,28532) = 58119684

Least Common Multiple (LCM) of 28518 and 28532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28518 and 28532. First we will calculate the prime factors of 28518 and 28532.

Prime Factorization of 28518

Prime Factorization of 28532

Now multiplying the highest exponent prime factors to calculate the LCM of 28518 and 28532.

LCM(28518,28532) = 2² × 3¹ × 7² × 97¹ × 1019¹
LCM(28518,28532) = 58119684