What is the Least Common Multiple of 85170 and 85175?

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 85170 and 85175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85170 and 85175, than apply into the LCM equation.

GCF(85170,85175) = 5
LCM(85170,85175) = ( 85170 × 85175) / 5
LCM(85170,85175) = 7254354750 / 5
LCM(85170,85175) = 1450870950

Least Common Multiple (LCM) of 85170 and 85175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85170 and 85175. First we will calculate the prime factors of 85170 and 85175.

Prime Factorization of 85170

Prime Factorization of 85175

Now multiplying the highest exponent prime factors to calculate the LCM of 85170 and 85175.

LCM(85170,85175) = 2¹ × 3¹ × 5² × 17¹ × 167¹ × 3407¹
LCM(85170,85175) = 1450870950