What is the Least Common Multiple of 58060 and 58075?

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 58060 and 58075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58060 and 58075, than apply into the LCM equation.

GCF(58060,58075) = 5
LCM(58060,58075) = ( 58060 × 58075) / 5
LCM(58060,58075) = 3371834500 / 5
LCM(58060,58075) = 674366900

Least Common Multiple (LCM) of 58060 and 58075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58060 and 58075. First we will calculate the prime factors of 58060 and 58075.

Prime Factorization of 58060

Prime Factorization of 58075

Now multiplying the highest exponent prime factors to calculate the LCM of 58060 and 58075.

LCM(58060,58075) = 2² × 5² × 2903¹ × 23¹ × 101¹
LCM(58060,58075) = 674366900