What is the Least Common Multiple of 89440 and 89456?

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 89440 and 89456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89440 and 89456, than apply into the LCM equation.

GCF(89440,89456) = 16
LCM(89440,89456) = ( 89440 × 89456) / 16
LCM(89440,89456) = 8000944640 / 16
LCM(89440,89456) = 500059040

Least Common Multiple (LCM) of 89440 and 89456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89440 and 89456. First we will calculate the prime factors of 89440 and 89456.

Prime Factorization of 89440

Prime Factorization of 89456

Now multiplying the highest exponent prime factors to calculate the LCM of 89440 and 89456.

LCM(89440,89456) = 2⁵ × 5¹ × 13¹ × 43¹ × 5591¹
LCM(89440,89456) = 500059040