What is the Least Common Multiple of 89160 and 89164?

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 89160 and 89164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89160 and 89164, than apply into the LCM equation.

GCF(89160,89164) = 4
LCM(89160,89164) = ( 89160 × 89164) / 4
LCM(89160,89164) = 7949862240 / 4
LCM(89160,89164) = 1987465560

Least Common Multiple (LCM) of 89160 and 89164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89160 and 89164. First we will calculate the prime factors of 89160 and 89164.

Prime Factorization of 89160

Prime Factorization of 89164

Now multiplying the highest exponent prime factors to calculate the LCM of 89160 and 89164.

LCM(89160,89164) = 2³ × 3¹ × 5¹ × 743¹ × 22291¹
LCM(89160,89164) = 1987465560