What is the Least Common Multiple of 96884 and 96902?

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 96884 and 96902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96884 and 96902, than apply into the LCM equation.

GCF(96884,96902) = 2
LCM(96884,96902) = ( 96884 × 96902) / 2
LCM(96884,96902) = 9388253368 / 2
LCM(96884,96902) = 4694126684

Least Common Multiple (LCM) of 96884 and 96902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96884 and 96902. First we will calculate the prime factors of 96884 and 96902.

Prime Factorization of 96884

Prime Factorization of 96902

Now multiplying the highest exponent prime factors to calculate the LCM of 96884 and 96902.

LCM(96884,96902) = 2² × 53¹ × 457¹ × 13¹ × 3727¹
LCM(96884,96902) = 4694126684