What is the Least Common Multiple of 58500 and 58517?

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 58500 and 58517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58500 and 58517, than apply into the LCM equation.

GCF(58500,58517) = 1
LCM(58500,58517) = ( 58500 × 58517) / 1
LCM(58500,58517) = 3423244500 / 1
LCM(58500,58517) = 3423244500

Least Common Multiple (LCM) of 58500 and 58517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58500 and 58517. First we will calculate the prime factors of 58500 and 58517.

Prime Factorization of 58500

Prime Factorization of 58517

Now multiplying the highest exponent prime factors to calculate the LCM of 58500 and 58517.

LCM(58500,58517) = 2² × 3² × 5³ × 13¹ × 163¹ × 359¹
LCM(58500,58517) = 3423244500