What is the Least Common Multiple of 76404 and 76408?

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 76404 and 76408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76404 and 76408, than apply into the LCM equation.

GCF(76404,76408) = 4
LCM(76404,76408) = ( 76404 × 76408) / 4
LCM(76404,76408) = 5837876832 / 4
LCM(76404,76408) = 1459469208

Least Common Multiple (LCM) of 76404 and 76408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76404 and 76408. First we will calculate the prime factors of 76404 and 76408.

Prime Factorization of 76404

Prime Factorization of 76408

Now multiplying the highest exponent prime factors to calculate the LCM of 76404 and 76408.

LCM(76404,76408) = 2³ × 3¹ × 6367¹ × 9551¹
LCM(76404,76408) = 1459469208