What is the Least Common Multiple of 7404 and 7416?

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 7404 and 7416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7404 and 7416, than apply into the LCM equation.

GCF(7404,7416) = 12
LCM(7404,7416) = ( 7404 × 7416) / 12
LCM(7404,7416) = 54908064 / 12
LCM(7404,7416) = 4575672

Least Common Multiple (LCM) of 7404 and 7416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7404 and 7416. First we will calculate the prime factors of 7404 and 7416.

Prime Factorization of 7404

Prime Factorization of 7416

Now multiplying the highest exponent prime factors to calculate the LCM of 7404 and 7416.

LCM(7404,7416) = 2³ × 3² × 617¹ × 103¹
LCM(7404,7416) = 4575672