What is the Least Common Multiple of 58590 and 58600?

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 58590 and 58600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58590 and 58600, than apply into the LCM equation.

GCF(58590,58600) = 10
LCM(58590,58600) = ( 58590 × 58600) / 10
LCM(58590,58600) = 3433374000 / 10
LCM(58590,58600) = 343337400

Least Common Multiple (LCM) of 58590 and 58600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58590 and 58600. First we will calculate the prime factors of 58590 and 58600.

Prime Factorization of 58590

Prime Factorization of 58600

Now multiplying the highest exponent prime factors to calculate the LCM of 58590 and 58600.

LCM(58590,58600) = 2³ × 3³ × 5² × 7¹ × 31¹ × 293¹
LCM(58590,58600) = 343337400