What is the Least Common Multiple of 85146 and 85150?

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 85150 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 85150, than apply into the LCM equation.

GCF(85146,85150) = 2
LCM(85146,85150) = ( 85146 × 85150) / 2
LCM(85146,85150) = 7250181900 / 2
LCM(85146,85150) = 3625090950

Least Common Multiple (LCM) of 85146 and 85150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85146 and 85150. First we will calculate the prime factors of 85146 and 85150.

Prime Factorization of 85146

Prime Factorization of 85150

Now multiplying the highest exponent prime factors to calculate the LCM of 85146 and 85150.

LCM(85146,85150) = 2¹ × 3¹ × 23¹ × 617¹ × 5² × 13¹ × 131¹
LCM(85146,85150) = 3625090950