What is the Least Common Multiple of 96172 and 96182?

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 96172 and 96182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96172 and 96182, than apply into the LCM equation.

GCF(96172,96182) = 2
LCM(96172,96182) = ( 96172 × 96182) / 2
LCM(96172,96182) = 9250015304 / 2
LCM(96172,96182) = 4625007652

Least Common Multiple (LCM) of 96172 and 96182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96172 and 96182. First we will calculate the prime factors of 96172 and 96182.

Prime Factorization of 96172

Prime Factorization of 96182

Now multiplying the highest exponent prime factors to calculate the LCM of 96172 and 96182.

LCM(96172,96182) = 2² × 24043¹ × 48091¹
LCM(96172,96182) = 4625007652