What is the Least Common Multiple of 6946 and 6952?

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 6946 and 6952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6946 and 6952, than apply into the LCM equation.

GCF(6946,6952) = 2
LCM(6946,6952) = ( 6946 × 6952) / 2
LCM(6946,6952) = 48288592 / 2
LCM(6946,6952) = 24144296

Least Common Multiple (LCM) of 6946 and 6952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6946 and 6952. First we will calculate the prime factors of 6946 and 6952.

Prime Factorization of 6946

Prime Factorization of 6952

Now multiplying the highest exponent prime factors to calculate the LCM of 6946 and 6952.

LCM(6946,6952) = 2³ × 23¹ × 151¹ × 11¹ × 79¹
LCM(6946,6952) = 24144296