What is the Least Common Multiple of 96162 and 96171?

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 96162 and 96171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96162 and 96171, than apply into the LCM equation.

GCF(96162,96171) = 3
LCM(96162,96171) = ( 96162 × 96171) / 3
LCM(96162,96171) = 9247995702 / 3
LCM(96162,96171) = 3082665234

Least Common Multiple (LCM) of 96162 and 96171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96162 and 96171. First we will calculate the prime factors of 96162 and 96171.

Prime Factorization of 96162

Prime Factorization of 96171

Now multiplying the highest exponent prime factors to calculate the LCM of 96162 and 96171.

LCM(96162,96171) = 2¹ × 3¹ × 11¹ × 31¹ × 47¹ × 32057¹
LCM(96162,96171) = 3082665234