What is the Least Common Multiple of 9896 and 9902?

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 9896 and 9902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9896 and 9902, than apply into the LCM equation.

GCF(9896,9902) = 2
LCM(9896,9902) = ( 9896 × 9902) / 2
LCM(9896,9902) = 97990192 / 2
LCM(9896,9902) = 48995096

Least Common Multiple (LCM) of 9896 and 9902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9896 and 9902. First we will calculate the prime factors of 9896 and 9902.

Prime Factorization of 9896

Prime Factorization of 9902

Now multiplying the highest exponent prime factors to calculate the LCM of 9896 and 9902.

LCM(9896,9902) = 2³ × 1237¹ × 4951¹
LCM(9896,9902) = 48995096