What is the Least Common Multiple of 93870 and 93876?

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 93870 and 93876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93870 and 93876, than apply into the LCM equation.

GCF(93870,93876) = 6
LCM(93870,93876) = ( 93870 × 93876) / 6
LCM(93870,93876) = 8812140120 / 6
LCM(93870,93876) = 1468690020

Least Common Multiple (LCM) of 93870 and 93876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93870 and 93876. First we will calculate the prime factors of 93870 and 93876.

Prime Factorization of 93870

Prime Factorization of 93876

Now multiplying the highest exponent prime factors to calculate the LCM of 93870 and 93876.

LCM(93870,93876) = 2² × 3² × 5¹ × 7¹ × 149¹ × 7823¹
LCM(93870,93876) = 1468690020