What is the Least Common Multiple of 9936 and 9941?

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 9941 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 9941, than apply into the LCM equation.

GCF(9936,9941) = 1
LCM(9936,9941) = ( 9936 × 9941) / 1
LCM(9936,9941) = 98773776 / 1
LCM(9936,9941) = 98773776

Least Common Multiple (LCM) of 9936 and 9941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9936 and 9941. First we will calculate the prime factors of 9936 and 9941.

Prime Factorization of 9936

Prime Factorization of 9941

Now multiplying the highest exponent prime factors to calculate the LCM of 9936 and 9941.

LCM(9936,9941) = 2⁴ × 3³ × 23¹ × 9941¹
LCM(9936,9941) = 98773776