What is the Least Common Multiple of 9912 and 9932?

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 9932 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 9932, than apply into the LCM equation.

GCF(9912,9932) = 4
LCM(9912,9932) = ( 9912 × 9932) / 4
LCM(9912,9932) = 98445984 / 4
LCM(9912,9932) = 24611496

Least Common Multiple (LCM) of 9912 and 9932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9912 and 9932. First we will calculate the prime factors of 9912 and 9932.

Prime Factorization of 9912

Prime Factorization of 9932

Now multiplying the highest exponent prime factors to calculate the LCM of 9912 and 9932.

LCM(9912,9932) = 2³ × 3¹ × 7¹ × 59¹ × 13¹ × 191¹
LCM(9912,9932) = 24611496