What is the Least Common Multiple of 9936 and 9953?

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 9953 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 9953, than apply into the LCM equation.

GCF(9936,9953) = 1
LCM(9936,9953) = ( 9936 × 9953) / 1
LCM(9936,9953) = 98893008 / 1
LCM(9936,9953) = 98893008

Least Common Multiple (LCM) of 9936 and 9953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9936 and 9953. First we will calculate the prime factors of 9936 and 9953.

Prime Factorization of 9936

Prime Factorization of 9953

Now multiplying the highest exponent prime factors to calculate the LCM of 9936 and 9953.

LCM(9936,9953) = 2⁴ × 3³ × 23¹ × 37¹ × 269¹
LCM(9936,9953) = 98893008