What is the Least Common Multiple of 58080 and 58085?

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 58080 and 58085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58080 and 58085, than apply into the LCM equation.

GCF(58080,58085) = 5
LCM(58080,58085) = ( 58080 × 58085) / 5
LCM(58080,58085) = 3373576800 / 5
LCM(58080,58085) = 674715360

Least Common Multiple (LCM) of 58080 and 58085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58080 and 58085. First we will calculate the prime factors of 58080 and 58085.

Prime Factorization of 58080

Prime Factorization of 58085

Now multiplying the highest exponent prime factors to calculate the LCM of 58080 and 58085.

LCM(58080,58085) = 2⁵ × 3¹ × 5¹ × 11² × 11617¹
LCM(58080,58085) = 674715360