What is the Least Common Multiple of 7416 and 7421?

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 7416 and 7421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7416 and 7421, than apply into the LCM equation.

GCF(7416,7421) = 1
LCM(7416,7421) = ( 7416 × 7421) / 1
LCM(7416,7421) = 55034136 / 1
LCM(7416,7421) = 55034136

Least Common Multiple (LCM) of 7416 and 7421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7416 and 7421. First we will calculate the prime factors of 7416 and 7421.

Prime Factorization of 7416

Prime Factorization of 7421

Now multiplying the highest exponent prime factors to calculate the LCM of 7416 and 7421.

LCM(7416,7421) = 2³ × 3² × 103¹ × 41¹ × 181¹
LCM(7416,7421) = 55034136