What is the Least Common Multiple of 85146 and 85155?

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 85155 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 85155, than apply into the LCM equation.

GCF(85146,85155) = 3
LCM(85146,85155) = ( 85146 × 85155) / 3
LCM(85146,85155) = 7250607630 / 3
LCM(85146,85155) = 2416869210

Least Common Multiple (LCM) of 85146 and 85155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85146 and 85155. First we will calculate the prime factors of 85146 and 85155.

Prime Factorization of 85146

Prime Factorization of 85155

Now multiplying the highest exponent prime factors to calculate the LCM of 85146 and 85155.

LCM(85146,85155) = 2¹ × 3¹ × 23¹ × 617¹ × 5¹ × 7¹ × 811¹
LCM(85146,85155) = 2416869210