What is the Least Common Multiple of 96874 and 96882?

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 96874 and 96882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96874 and 96882, than apply into the LCM equation.

GCF(96874,96882) = 2
LCM(96874,96882) = ( 96874 × 96882) / 2
LCM(96874,96882) = 9385346868 / 2
LCM(96874,96882) = 4692673434

Least Common Multiple (LCM) of 96874 and 96882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96874 and 96882. First we will calculate the prime factors of 96874 and 96882.

Prime Factorization of 96874

Prime Factorization of 96882

Now multiplying the highest exponent prime factors to calculate the LCM of 96874 and 96882.

LCM(96874,96882) = 2¹ × 48437¹ × 3¹ × 67¹ × 241¹
LCM(96874,96882) = 4692673434