What is the Least Common Multiple of 86008 and 86014?

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 86014 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 86014, than apply into the LCM equation.

GCF(86008,86014) = 2
LCM(86008,86014) = ( 86008 × 86014) / 2
LCM(86008,86014) = 7397892112 / 2
LCM(86008,86014) = 3698946056

Least Common Multiple (LCM) of 86008 and 86014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86008 and 86014. First we will calculate the prime factors of 86008 and 86014.

Prime Factorization of 86008

Prime Factorization of 86014

Now multiplying the highest exponent prime factors to calculate the LCM of 86008 and 86014.

LCM(86008,86014) = 2³ × 13¹ × 827¹ × 29¹ × 1483¹
LCM(86008,86014) = 3698946056