What is the Least Common Multiple of 76715 and 76735?

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 76715 and 76735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76715 and 76735, than apply into the LCM equation.

GCF(76715,76735) = 5
LCM(76715,76735) = ( 76715 × 76735) / 5
LCM(76715,76735) = 5886725525 / 5
LCM(76715,76735) = 1177345105

Least Common Multiple (LCM) of 76715 and 76735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76715 and 76735. First we will calculate the prime factors of 76715 and 76735.

Prime Factorization of 76715

Prime Factorization of 76735

Now multiplying the highest exponent prime factors to calculate the LCM of 76715 and 76735.

LCM(76715,76735) = 5¹ × 67¹ × 229¹ × 103¹ × 149¹
LCM(76715,76735) = 1177345105