What is the Least Common Multiple of 9902 and 9912?

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 9902 and 9912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9902 and 9912, than apply into the LCM equation.

GCF(9902,9912) = 2
LCM(9902,9912) = ( 9902 × 9912) / 2
LCM(9902,9912) = 98148624 / 2
LCM(9902,9912) = 49074312

Least Common Multiple (LCM) of 9902 and 9912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9902 and 9912. First we will calculate the prime factors of 9902 and 9912.

Prime Factorization of 9902

Prime Factorization of 9912

Now multiplying the highest exponent prime factors to calculate the LCM of 9902 and 9912.

LCM(9902,9912) = 2³ × 4951¹ × 3¹ × 7¹ × 59¹
LCM(9902,9912) = 49074312