What is the Least Common Multiple of 87016 and 87022?

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 87016 and 87022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87016 and 87022, than apply into the LCM equation.

GCF(87016,87022) = 2
LCM(87016,87022) = ( 87016 × 87022) / 2
LCM(87016,87022) = 7572306352 / 2
LCM(87016,87022) = 3786153176

Least Common Multiple (LCM) of 87016 and 87022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87016 and 87022. First we will calculate the prime factors of 87016 and 87022.

Prime Factorization of 87016

Prime Factorization of 87022

Now multiplying the highest exponent prime factors to calculate the LCM of 87016 and 87022.

LCM(87016,87022) = 2³ × 73¹ × 149¹ × 13¹ × 3347¹
LCM(87016,87022) = 3786153176