What is the Least Common Multiple of 89176 and 89196?

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 89176 and 89196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89176 and 89196, than apply into the LCM equation.

GCF(89176,89196) = 4
LCM(89176,89196) = ( 89176 × 89196) / 4
LCM(89176,89196) = 7954142496 / 4
LCM(89176,89196) = 1988535624

Least Common Multiple (LCM) of 89176 and 89196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89176 and 89196. First we will calculate the prime factors of 89176 and 89196.

Prime Factorization of 89176

Prime Factorization of 89196

Now multiplying the highest exponent prime factors to calculate the LCM of 89176 and 89196.

LCM(89176,89196) = 2³ × 71¹ × 157¹ × 3¹ × 7433¹
LCM(89176,89196) = 1988535624