What is the Least Common Multiple of 85080 and 85085?

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 85080 and 85085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85080 and 85085, than apply into the LCM equation.

GCF(85080,85085) = 5
LCM(85080,85085) = ( 85080 × 85085) / 5
LCM(85080,85085) = 7239031800 / 5
LCM(85080,85085) = 1447806360

Least Common Multiple (LCM) of 85080 and 85085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85080 and 85085. First we will calculate the prime factors of 85080 and 85085.

Prime Factorization of 85080

Prime Factorization of 85085

Now multiplying the highest exponent prime factors to calculate the LCM of 85080 and 85085.

LCM(85080,85085) = 2³ × 3¹ × 5¹ × 709¹ × 7¹ × 11¹ × 13¹ × 17¹
LCM(85080,85085) = 1447806360