What is the Least Common Multiple of 6852 and 6869?

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 6869 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 6869, than apply into the LCM equation.

GCF(6852,6869) = 1
LCM(6852,6869) = ( 6852 × 6869) / 1
LCM(6852,6869) = 47066388 / 1
LCM(6852,6869) = 47066388

Least Common Multiple (LCM) of 6852 and 6869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6852 and 6869. First we will calculate the prime factors of 6852 and 6869.

Prime Factorization of 6852

Prime Factorization of 6869

Now multiplying the highest exponent prime factors to calculate the LCM of 6852 and 6869.

LCM(6852,6869) = 2² × 3¹ × 571¹ × 6869¹
LCM(6852,6869) = 47066388