What is the Least Common Multiple of 28956 and 28975?

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 28956 and 28975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28956 and 28975, than apply into the LCM equation.

GCF(28956,28975) = 19
LCM(28956,28975) = ( 28956 × 28975) / 19
LCM(28956,28975) = 839000100 / 19
LCM(28956,28975) = 44157900

Least Common Multiple (LCM) of 28956 and 28975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28956 and 28975. First we will calculate the prime factors of 28956 and 28975.

Prime Factorization of 28956

Prime Factorization of 28975

Now multiplying the highest exponent prime factors to calculate the LCM of 28956 and 28975.

LCM(28956,28975) = 2² × 3¹ × 19¹ × 127¹ × 5² × 61¹
LCM(28956,28975) = 44157900