What is the Least Common Multiple of 89440 and 89459?

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 89459 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 89459, than apply into the LCM equation.

GCF(89440,89459) = 1
LCM(89440,89459) = ( 89440 × 89459) / 1
LCM(89440,89459) = 8001212960 / 1
LCM(89440,89459) = 8001212960

Least Common Multiple (LCM) of 89440 and 89459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89440 and 89459. First we will calculate the prime factors of 89440 and 89459.

Prime Factorization of 89440

Prime Factorization of 89459

Now multiplying the highest exponent prime factors to calculate the LCM of 89440 and 89459.

LCM(89440,89459) = 2⁵ × 5¹ × 13¹ × 43¹ × 89459¹
LCM(89440,89459) = 8001212960