What is the Least Common Multiple of 9912 and 9924?

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 9912 and 9924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9912 and 9924, than apply into the LCM equation.

GCF(9912,9924) = 12
LCM(9912,9924) = ( 9912 × 9924) / 12
LCM(9912,9924) = 98366688 / 12
LCM(9912,9924) = 8197224

Least Common Multiple (LCM) of 9912 and 9924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9912 and 9924. First we will calculate the prime factors of 9912 and 9924.

Prime Factorization of 9912

Prime Factorization of 9924

Now multiplying the highest exponent prime factors to calculate the LCM of 9912 and 9924.

LCM(9912,9924) = 2³ × 3¹ × 7¹ × 59¹ × 827¹
LCM(9912,9924) = 8197224