What is the Least Common Multiple of 9912 and 9926?

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 9926 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 9926, than apply into the LCM equation.

GCF(9912,9926) = 14
LCM(9912,9926) = ( 9912 × 9926) / 14
LCM(9912,9926) = 98386512 / 14
LCM(9912,9926) = 7027608

Least Common Multiple (LCM) of 9912 and 9926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9912 and 9926. First we will calculate the prime factors of 9912 and 9926.

Prime Factorization of 9912

Prime Factorization of 9926

Now multiplying the highest exponent prime factors to calculate the LCM of 9912 and 9926.

LCM(9912,9926) = 2³ × 3¹ × 7¹ × 59¹ × 709¹
LCM(9912,9926) = 7027608