What is the Least Common Multiple of 77157 and 77177?

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 77157 and 77177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77157 and 77177, than apply into the LCM equation.

GCF(77157,77177) = 1
LCM(77157,77177) = ( 77157 × 77177) / 1
LCM(77157,77177) = 5954745789 / 1
LCM(77157,77177) = 5954745789

Least Common Multiple (LCM) of 77157 and 77177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77157 and 77177. First we will calculate the prime factors of 77157 and 77177.

Prime Factorization of 77157

Prime Factorization of 77177

Now multiplying the highest exponent prime factors to calculate the LCM of 77157 and 77177.

LCM(77157,77177) = 3² × 8573¹ × 71¹ × 1087¹
LCM(77157,77177) = 5954745789