What is the Least Common Multiple of 28536 and 28548?

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 28536 and 28548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28536 and 28548, than apply into the LCM equation.

GCF(28536,28548) = 12
LCM(28536,28548) = ( 28536 × 28548) / 12
LCM(28536,28548) = 814645728 / 12
LCM(28536,28548) = 67887144

Least Common Multiple (LCM) of 28536 and 28548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28536 and 28548. First we will calculate the prime factors of 28536 and 28548.

Prime Factorization of 28536

Prime Factorization of 28548

Now multiplying the highest exponent prime factors to calculate the LCM of 28536 and 28548.

LCM(28536,28548) = 2³ × 3² × 29¹ × 41¹ × 13¹ × 61¹
LCM(28536,28548) = 67887144