What is the Least Common Multiple of 9936 and 9951?

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 9951 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 9951, than apply into the LCM equation.

GCF(9936,9951) = 3
LCM(9936,9951) = ( 9936 × 9951) / 3
LCM(9936,9951) = 98873136 / 3
LCM(9936,9951) = 32957712

Least Common Multiple (LCM) of 9936 and 9951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9936 and 9951. First we will calculate the prime factors of 9936 and 9951.

Prime Factorization of 9936

Prime Factorization of 9951

Now multiplying the highest exponent prime factors to calculate the LCM of 9936 and 9951.

LCM(9936,9951) = 2⁴ × 3³ × 23¹ × 31¹ × 107¹
LCM(9936,9951) = 32957712