What is the Least Common Multiple of 76104 and 76122?

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 76122 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 76122, than apply into the LCM equation.

GCF(76104,76122) = 18
LCM(76104,76122) = ( 76104 × 76122) / 18
LCM(76104,76122) = 5793188688 / 18
LCM(76104,76122) = 321843816

Least Common Multiple (LCM) of 76104 and 76122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76104 and 76122. First we will calculate the prime factors of 76104 and 76122.

Prime Factorization of 76104

Prime Factorization of 76122

Now multiplying the highest exponent prime factors to calculate the LCM of 76104 and 76122.

LCM(76104,76122) = 2³ × 3² × 7¹ × 151¹ × 4229¹
LCM(76104,76122) = 321843816