What is the Least Common Multiple of 86470 and 86477?

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 86470 and 86477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86470 and 86477, than apply into the LCM equation.

GCF(86470,86477) = 1
LCM(86470,86477) = ( 86470 × 86477) / 1
LCM(86470,86477) = 7477666190 / 1
LCM(86470,86477) = 7477666190

Least Common Multiple (LCM) of 86470 and 86477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86470 and 86477. First we will calculate the prime factors of 86470 and 86477.

Prime Factorization of 86470

Prime Factorization of 86477

Now multiplying the highest exponent prime factors to calculate the LCM of 86470 and 86477.

LCM(86470,86477) = 2¹ × 5¹ × 8647¹ × 86477¹
LCM(86470,86477) = 7477666190