What is the Least Common Multiple of 85146 and 85161?

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 85146 and 85161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85146 and 85161, than apply into the LCM equation.

GCF(85146,85161) = 3
LCM(85146,85161) = ( 85146 × 85161) / 3
LCM(85146,85161) = 7251118506 / 3
LCM(85146,85161) = 2417039502

Least Common Multiple (LCM) of 85146 and 85161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85146 and 85161. First we will calculate the prime factors of 85146 and 85161.

Prime Factorization of 85146

Prime Factorization of 85161

Now multiplying the highest exponent prime factors to calculate the LCM of 85146 and 85161.

LCM(85146,85161) = 2¹ × 3¹ × 23¹ × 617¹ × 28387¹
LCM(85146,85161) = 2417039502