What is the Least Common Multiple of 9936 and 9946?

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 9936 and 9946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9936 and 9946, than apply into the LCM equation.

GCF(9936,9946) = 2
LCM(9936,9946) = ( 9936 × 9946) / 2
LCM(9936,9946) = 98823456 / 2
LCM(9936,9946) = 49411728

Least Common Multiple (LCM) of 9936 and 9946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9936 and 9946. First we will calculate the prime factors of 9936 and 9946.

Prime Factorization of 9936

Prime Factorization of 9946

Now multiplying the highest exponent prime factors to calculate the LCM of 9936 and 9946.

LCM(9936,9946) = 2⁴ × 3³ × 23¹ × 4973¹
LCM(9936,9946) = 49411728