What is the Least Common Multiple of 89164 and 89176?

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 89164 and 89176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89164 and 89176, than apply into the LCM equation.

GCF(89164,89176) = 4
LCM(89164,89176) = ( 89164 × 89176) / 4
LCM(89164,89176) = 7951288864 / 4
LCM(89164,89176) = 1987822216

Least Common Multiple (LCM) of 89164 and 89176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89164 and 89176. First we will calculate the prime factors of 89164 and 89176.

Prime Factorization of 89164

Prime Factorization of 89176

Now multiplying the highest exponent prime factors to calculate the LCM of 89164 and 89176.

LCM(89164,89176) = 2³ × 22291¹ × 71¹ × 157¹
LCM(89164,89176) = 1987822216