What is the Least Common Multiple of 89624 and 89628?

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 89624 and 89628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89624 and 89628, than apply into the LCM equation.

GCF(89624,89628) = 4
LCM(89624,89628) = ( 89624 × 89628) / 4
LCM(89624,89628) = 8032819872 / 4
LCM(89624,89628) = 2008204968

Least Common Multiple (LCM) of 89624 and 89628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89624 and 89628. First we will calculate the prime factors of 89624 and 89628.

Prime Factorization of 89624

Prime Factorization of 89628

Now multiplying the highest exponent prime factors to calculate the LCM of 89624 and 89628.

LCM(89624,89628) = 2³ × 17¹ × 659¹ × 3¹ × 7¹ × 11¹ × 97¹
LCM(89624,89628) = 2008204968