What is the Least Common Multiple of 58085 and 58104?

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 58085 and 58104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58085 and 58104, than apply into the LCM equation.

GCF(58085,58104) = 1
LCM(58085,58104) = ( 58085 × 58104) / 1
LCM(58085,58104) = 3374970840 / 1
LCM(58085,58104) = 3374970840

Least Common Multiple (LCM) of 58085 and 58104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58085 and 58104. First we will calculate the prime factors of 58085 and 58104.

Prime Factorization of 58085

Prime Factorization of 58104

Now multiplying the highest exponent prime factors to calculate the LCM of 58085 and 58104.

LCM(58085,58104) = 5¹ × 11617¹ × 2³ × 3³ × 269¹
LCM(58085,58104) = 3374970840