What is the Least Common Multiple of 85173 and 85184?

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 85173 and 85184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85173 and 85184, than apply into the LCM equation.

GCF(85173,85184) = 11
LCM(85173,85184) = ( 85173 × 85184) / 11
LCM(85173,85184) = 7255376832 / 11
LCM(85173,85184) = 659579712

Least Common Multiple (LCM) of 85173 and 85184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85173 and 85184. First we will calculate the prime factors of 85173 and 85184.

Prime Factorization of 85173

Prime Factorization of 85184

Now multiplying the highest exponent prime factors to calculate the LCM of 85173 and 85184.

LCM(85173,85184) = 3¹ × 11³ × 29¹ × 89¹ × 2⁶
LCM(85173,85184) = 659579712