What is the Least Common Multiple of 86310 and 86316?

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 86310 and 86316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86310 and 86316, than apply into the LCM equation.

GCF(86310,86316) = 6
LCM(86310,86316) = ( 86310 × 86316) / 6
LCM(86310,86316) = 7449933960 / 6
LCM(86310,86316) = 1241655660

Least Common Multiple (LCM) of 86310 and 86316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86310 and 86316. First we will calculate the prime factors of 86310 and 86316.

Prime Factorization of 86310

Prime Factorization of 86316

Now multiplying the highest exponent prime factors to calculate the LCM of 86310 and 86316.

LCM(86310,86316) = 2² × 3² × 5¹ × 7¹ × 137¹ × 7193¹
LCM(86310,86316) = 1241655660