What is the Least Common Multiple of 76104 and 76118?

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 76104 and 76118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76104 and 76118, than apply into the LCM equation.

GCF(76104,76118) = 14
LCM(76104,76118) = ( 76104 × 76118) / 14
LCM(76104,76118) = 5792884272 / 14
LCM(76104,76118) = 413777448

Least Common Multiple (LCM) of 76104 and 76118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76104 and 76118. First we will calculate the prime factors of 76104 and 76118.

Prime Factorization of 76104

Prime Factorization of 76118

Now multiplying the highest exponent prime factors to calculate the LCM of 76104 and 76118.

LCM(76104,76118) = 2³ × 3² × 7¹ × 151¹ × 5437¹
LCM(76104,76118) = 413777448