What is the Least Common Multiple of 89364 and 89368?

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 89364 and 89368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89364 and 89368, than apply into the LCM equation.

GCF(89364,89368) = 4
LCM(89364,89368) = ( 89364 × 89368) / 4
LCM(89364,89368) = 7986281952 / 4
LCM(89364,89368) = 1996570488

Least Common Multiple (LCM) of 89364 and 89368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89364 and 89368. First we will calculate the prime factors of 89364 and 89368.

Prime Factorization of 89364

Prime Factorization of 89368

Now multiplying the highest exponent prime factors to calculate the LCM of 89364 and 89368.

LCM(89364,89368) = 2³ × 3¹ × 11¹ × 677¹ × 11171¹
LCM(89364,89368) = 1996570488