What is the Least Common Multiple of 7416 and 7424?

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 7424 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 7424, than apply into the LCM equation.

GCF(7416,7424) = 8
LCM(7416,7424) = ( 7416 × 7424) / 8
LCM(7416,7424) = 55056384 / 8
LCM(7416,7424) = 6882048

Least Common Multiple (LCM) of 7416 and 7424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7416 and 7424. First we will calculate the prime factors of 7416 and 7424.

Prime Factorization of 7416

Prime Factorization of 7424

Now multiplying the highest exponent prime factors to calculate the LCM of 7416 and 7424.

LCM(7416,7424) = 2⁸ × 3² × 103¹ × 29¹
LCM(7416,7424) = 6882048