What is the Least Common Multiple of 77150 and 77166?

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 77150 and 77166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77150 and 77166, than apply into the LCM equation.

GCF(77150,77166) = 2
LCM(77150,77166) = ( 77150 × 77166) / 2
LCM(77150,77166) = 5953356900 / 2
LCM(77150,77166) = 2976678450

Least Common Multiple (LCM) of 77150 and 77166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77150 and 77166. First we will calculate the prime factors of 77150 and 77166.

Prime Factorization of 77150

Prime Factorization of 77166

Now multiplying the highest exponent prime factors to calculate the LCM of 77150 and 77166.

LCM(77150,77166) = 2¹ × 5² × 1543¹ × 3³ × 1429¹
LCM(77150,77166) = 2976678450