What is the Least Common Multiple of 87144 and 87164?

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 87144 and 87164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87144 and 87164, than apply into the LCM equation.

GCF(87144,87164) = 4
LCM(87144,87164) = ( 87144 × 87164) / 4
LCM(87144,87164) = 7595819616 / 4
LCM(87144,87164) = 1898954904

Least Common Multiple (LCM) of 87144 and 87164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87144 and 87164. First we will calculate the prime factors of 87144 and 87164.

Prime Factorization of 87144

Prime Factorization of 87164

Now multiplying the highest exponent prime factors to calculate the LCM of 87144 and 87164.

LCM(87144,87164) = 2³ × 3¹ × 3631¹ × 7¹ × 11¹ × 283¹
LCM(87144,87164) = 1898954904