What is the Least Common Multiple of 9924 and 9936?

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 9924 and 9936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9924 and 9936, than apply into the LCM equation.

GCF(9924,9936) = 12
LCM(9924,9936) = ( 9924 × 9936) / 12
LCM(9924,9936) = 98604864 / 12
LCM(9924,9936) = 8217072

Least Common Multiple (LCM) of 9924 and 9936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9924 and 9936. First we will calculate the prime factors of 9924 and 9936.

Prime Factorization of 9924

Prime Factorization of 9936

Now multiplying the highest exponent prime factors to calculate the LCM of 9924 and 9936.

LCM(9924,9936) = 2⁴ × 3³ × 827¹ × 23¹
LCM(9924,9936) = 8217072