What is the Least Common Multiple of 89600 and 89618?

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 89600 and 89618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89600 and 89618, than apply into the LCM equation.

GCF(89600,89618) = 2
LCM(89600,89618) = ( 89600 × 89618) / 2
LCM(89600,89618) = 8029772800 / 2
LCM(89600,89618) = 4014886400

Least Common Multiple (LCM) of 89600 and 89618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89600 and 89618. First we will calculate the prime factors of 89600 and 89618.

Prime Factorization of 89600

Prime Factorization of 89618

Now multiplying the highest exponent prime factors to calculate the LCM of 89600 and 89618.

LCM(89600,89618) = 2⁹ × 5² × 7¹ × 44809¹
LCM(89600,89618) = 4014886400