What is the Least Common Multiple of 86002 and 86006?

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 86002 and 86006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86002 and 86006, than apply into the LCM equation.

GCF(86002,86006) = 2
LCM(86002,86006) = ( 86002 × 86006) / 2
LCM(86002,86006) = 7396688012 / 2
LCM(86002,86006) = 3698344006

Least Common Multiple (LCM) of 86002 and 86006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86002 and 86006. First we will calculate the prime factors of 86002 and 86006.

Prime Factorization of 86002

Prime Factorization of 86006

Now multiplying the highest exponent prime factors to calculate the LCM of 86002 and 86006.

LCM(86002,86006) = 2¹ × 7¹ × 6143¹ × 43003¹
LCM(86002,86006) = 3698344006