What is the Least Common Multiple of 6852 and 6870?

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 6852 and 6870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6852 and 6870, than apply into the LCM equation.

GCF(6852,6870) = 6
LCM(6852,6870) = ( 6852 × 6870) / 6
LCM(6852,6870) = 47073240 / 6
LCM(6852,6870) = 7845540

Least Common Multiple (LCM) of 6852 and 6870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6852 and 6870. First we will calculate the prime factors of 6852 and 6870.

Prime Factorization of 6852

Prime Factorization of 6870

Now multiplying the highest exponent prime factors to calculate the LCM of 6852 and 6870.

LCM(6852,6870) = 2² × 3¹ × 571¹ × 5¹ × 229¹
LCM(6852,6870) = 7845540