What is the Least Common Multiple of 28056 and 28072?

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 28056 and 28072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28056 and 28072, than apply into the LCM equation.

GCF(28056,28072) = 8
LCM(28056,28072) = ( 28056 × 28072) / 8
LCM(28056,28072) = 787588032 / 8
LCM(28056,28072) = 98448504

Least Common Multiple (LCM) of 28056 and 28072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28056 and 28072. First we will calculate the prime factors of 28056 and 28072.

Prime Factorization of 28056

Prime Factorization of 28072

Now multiplying the highest exponent prime factors to calculate the LCM of 28056 and 28072.

LCM(28056,28072) = 2³ × 3¹ × 7¹ × 167¹ × 11² × 29¹
LCM(28056,28072) = 98448504