What is the Least Common Multiple of 86008 and 86022?

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 86008 and 86022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86008 and 86022, than apply into the LCM equation.

GCF(86008,86022) = 2
LCM(86008,86022) = ( 86008 × 86022) / 2
LCM(86008,86022) = 7398580176 / 2
LCM(86008,86022) = 3699290088

Least Common Multiple (LCM) of 86008 and 86022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86008 and 86022. First we will calculate the prime factors of 86008 and 86022.

Prime Factorization of 86008

Prime Factorization of 86022

Now multiplying the highest exponent prime factors to calculate the LCM of 86008 and 86022.

LCM(86008,86022) = 2³ × 13¹ × 827¹ × 3⁶ × 59¹
LCM(86008,86022) = 3699290088