What is the Least Common Multiple of 86310 and 86329?

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 86329 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 86329, than apply into the LCM equation.

GCF(86310,86329) = 1
LCM(86310,86329) = ( 86310 × 86329) / 1
LCM(86310,86329) = 7451055990 / 1
LCM(86310,86329) = 7451055990

Least Common Multiple (LCM) of 86310 and 86329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86310 and 86329. First we will calculate the prime factors of 86310 and 86329.

Prime Factorization of 86310

Prime Factorization of 86329

Now multiplying the highest exponent prime factors to calculate the LCM of 86310 and 86329.

LCM(86310,86329) = 2¹ × 3² × 5¹ × 7¹ × 137¹ × 131¹ × 659¹
LCM(86310,86329) = 7451055990