What is the Least Common Multiple of 89152 and 89160?

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 89152 and 89160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89152 and 89160, than apply into the LCM equation.

GCF(89152,89160) = 8
LCM(89152,89160) = ( 89152 × 89160) / 8
LCM(89152,89160) = 7948792320 / 8
LCM(89152,89160) = 993599040

Least Common Multiple (LCM) of 89152 and 89160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89152 and 89160. First we will calculate the prime factors of 89152 and 89160.

Prime Factorization of 89152

Prime Factorization of 89160

Now multiplying the highest exponent prime factors to calculate the LCM of 89152 and 89160.

LCM(89152,89160) = 2⁶ × 7¹ × 199¹ × 3¹ × 5¹ × 743¹
LCM(89152,89160) = 993599040