What is the Least Common Multiple of 77075 and 77082?

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 77075 and 77082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77075 and 77082, than apply into the LCM equation.

GCF(77075,77082) = 1
LCM(77075,77082) = ( 77075 × 77082) / 1
LCM(77075,77082) = 5941095150 / 1
LCM(77075,77082) = 5941095150

Least Common Multiple (LCM) of 77075 and 77082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77075 and 77082. First we will calculate the prime factors of 77075 and 77082.

Prime Factorization of 77075

Prime Factorization of 77082

Now multiplying the highest exponent prime factors to calculate the LCM of 77075 and 77082.

LCM(77075,77082) = 5² × 3083¹ × 2¹ × 3¹ × 29¹ × 443¹
LCM(77075,77082) = 5941095150