What is the Least Common Multiple of 28916 and 28925?

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 28916 and 28925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28916 and 28925, than apply into the LCM equation.

GCF(28916,28925) = 1
LCM(28916,28925) = ( 28916 × 28925) / 1
LCM(28916,28925) = 836395300 / 1
LCM(28916,28925) = 836395300

Least Common Multiple (LCM) of 28916 and 28925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28916 and 28925. First we will calculate the prime factors of 28916 and 28925.

Prime Factorization of 28916

Prime Factorization of 28925

Now multiplying the highest exponent prime factors to calculate the LCM of 28916 and 28925.

LCM(28916,28925) = 2² × 7229¹ × 5² × 13¹ × 89¹
LCM(28916,28925) = 836395300