What is the Least Common Multiple of 89404 and 89412?

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 89404 and 89412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89404 and 89412, than apply into the LCM equation.

GCF(89404,89412) = 4
LCM(89404,89412) = ( 89404 × 89412) / 4
LCM(89404,89412) = 7993790448 / 4
LCM(89404,89412) = 1998447612

Least Common Multiple (LCM) of 89404 and 89412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89404 and 89412. First we will calculate the prime factors of 89404 and 89412.

Prime Factorization of 89404

Prime Factorization of 89412

Now multiplying the highest exponent prime factors to calculate the LCM of 89404 and 89412.

LCM(89404,89412) = 2² × 7¹ × 31¹ × 103¹ × 3¹ × 7451¹
LCM(89404,89412) = 1998447612