What is the Least Common Multiple of 76104 and 76108?

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 76108 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 76108, than apply into the LCM equation.

GCF(76104,76108) = 4
LCM(76104,76108) = ( 76104 × 76108) / 4
LCM(76104,76108) = 5792123232 / 4
LCM(76104,76108) = 1448030808

Least Common Multiple (LCM) of 76104 and 76108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76104 and 76108. First we will calculate the prime factors of 76104 and 76108.

Prime Factorization of 76104

Prime Factorization of 76108

Now multiplying the highest exponent prime factors to calculate the LCM of 76104 and 76108.

LCM(76104,76108) = 2³ × 3² × 7¹ × 151¹ × 53¹ × 359¹
LCM(76104,76108) = 1448030808