What is the Least Common Multiple of 4932 and 4946?

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 4932 and 4946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4932 and 4946, than apply into the LCM equation.

GCF(4932,4946) = 2
LCM(4932,4946) = ( 4932 × 4946) / 2
LCM(4932,4946) = 24393672 / 2
LCM(4932,4946) = 12196836

Least Common Multiple (LCM) of 4932 and 4946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4932 and 4946. First we will calculate the prime factors of 4932 and 4946.

Prime Factorization of 4932

Prime Factorization of 4946

Now multiplying the highest exponent prime factors to calculate the LCM of 4932 and 4946.

LCM(4932,4946) = 2² × 3² × 137¹ × 2473¹
LCM(4932,4946) = 12196836