What is the Least Common Multiple of 9912 and 9921?

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 9921 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 9921, than apply into the LCM equation.

GCF(9912,9921) = 3
LCM(9912,9921) = ( 9912 × 9921) / 3
LCM(9912,9921) = 98336952 / 3
LCM(9912,9921) = 32778984

Least Common Multiple (LCM) of 9912 and 9921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9912 and 9921. First we will calculate the prime factors of 9912 and 9921.

Prime Factorization of 9912

Prime Factorization of 9921

Now multiplying the highest exponent prime factors to calculate the LCM of 9912 and 9921.

LCM(9912,9921) = 2³ × 3¹ × 7¹ × 59¹ × 3307¹
LCM(9912,9921) = 32778984