What is the Least Common Multiple of 85155 and 85173?

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 85155 and 85173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85155 and 85173, than apply into the LCM equation.

GCF(85155,85173) = 3
LCM(85155,85173) = ( 85155 × 85173) / 3
LCM(85155,85173) = 7252906815 / 3
LCM(85155,85173) = 2417635605

Least Common Multiple (LCM) of 85155 and 85173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85155 and 85173. First we will calculate the prime factors of 85155 and 85173.

Prime Factorization of 85155

Prime Factorization of 85173

Now multiplying the highest exponent prime factors to calculate the LCM of 85155 and 85173.

LCM(85155,85173) = 3¹ × 5¹ × 7¹ × 811¹ × 11¹ × 29¹ × 89¹
LCM(85155,85173) = 2417635605