What is the Least Common Multiple of 28521 and 28536?

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 28521 and 28536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28521 and 28536, than apply into the LCM equation.

GCF(28521,28536) = 3
LCM(28521,28536) = ( 28521 × 28536) / 3
LCM(28521,28536) = 813875256 / 3
LCM(28521,28536) = 271291752

Least Common Multiple (LCM) of 28521 and 28536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28521 and 28536. First we will calculate the prime factors of 28521 and 28536.

Prime Factorization of 28521

Prime Factorization of 28536

Now multiplying the highest exponent prime factors to calculate the LCM of 28521 and 28536.

LCM(28521,28536) = 3² × 3169¹ × 2³ × 29¹ × 41¹
LCM(28521,28536) = 271291752