What is the Least Common Multiple of 6942 and 6946?

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 6942 and 6946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6942 and 6946, than apply into the LCM equation.

GCF(6942,6946) = 2
LCM(6942,6946) = ( 6942 × 6946) / 2
LCM(6942,6946) = 48219132 / 2
LCM(6942,6946) = 24109566

Least Common Multiple (LCM) of 6942 and 6946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6942 and 6946. First we will calculate the prime factors of 6942 and 6946.

Prime Factorization of 6942

Prime Factorization of 6946

Now multiplying the highest exponent prime factors to calculate the LCM of 6942 and 6946.

LCM(6942,6946) = 2¹ × 3¹ × 13¹ × 89¹ × 23¹ × 151¹
LCM(6942,6946) = 24109566