What is the Least Common Multiple of 89440 and 89457?

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 89457 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 89457, than apply into the LCM equation.

GCF(89440,89457) = 1
LCM(89440,89457) = ( 89440 × 89457) / 1
LCM(89440,89457) = 8001034080 / 1
LCM(89440,89457) = 8001034080

Least Common Multiple (LCM) of 89440 and 89457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89440 and 89457. First we will calculate the prime factors of 89440 and 89457.

Prime Factorization of 89440

Prime Factorization of 89457

Now multiplying the highest exponent prime factors to calculate the LCM of 89440 and 89457.

LCM(89440,89457) = 2⁵ × 5¹ × 13¹ × 43¹ × 3¹ × 29819¹
LCM(89440,89457) = 8001034080