What is the Least Common Multiple of 86315 and 86330?

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 86315 and 86330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86315 and 86330, than apply into the LCM equation.

GCF(86315,86330) = 5
LCM(86315,86330) = ( 86315 × 86330) / 5
LCM(86315,86330) = 7451573950 / 5
LCM(86315,86330) = 1490314790

Least Common Multiple (LCM) of 86315 and 86330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86315 and 86330. First we will calculate the prime factors of 86315 and 86330.

Prime Factorization of 86315

Prime Factorization of 86330

Now multiplying the highest exponent prime factors to calculate the LCM of 86315 and 86330.

LCM(86315,86330) = 5¹ × 61¹ × 283¹ × 2¹ × 89¹ × 97¹
LCM(86315,86330) = 1490314790