What is the Least Common Multiple of 79440 and 79456?

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 79440 and 79456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79440 and 79456, than apply into the LCM equation.

GCF(79440,79456) = 16
LCM(79440,79456) = ( 79440 × 79456) / 16
LCM(79440,79456) = 6311984640 / 16
LCM(79440,79456) = 394499040

Least Common Multiple (LCM) of 79440 and 79456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79440 and 79456. First we will calculate the prime factors of 79440 and 79456.

Prime Factorization of 79440

Prime Factorization of 79456

Now multiplying the highest exponent prime factors to calculate the LCM of 79440 and 79456.

LCM(79440,79456) = 2⁵ × 3¹ × 5¹ × 331¹ × 13¹ × 191¹
LCM(79440,79456) = 394499040