What is the Least Common Multiple of 58250 and 58270?

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 58250 and 58270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58250 and 58270, than apply into the LCM equation.

GCF(58250,58270) = 10
LCM(58250,58270) = ( 58250 × 58270) / 10
LCM(58250,58270) = 3394227500 / 10
LCM(58250,58270) = 339422750

Least Common Multiple (LCM) of 58250 and 58270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58250 and 58270. First we will calculate the prime factors of 58250 and 58270.

Prime Factorization of 58250

Prime Factorization of 58270

Now multiplying the highest exponent prime factors to calculate the LCM of 58250 and 58270.

LCM(58250,58270) = 2¹ × 5³ × 233¹ × 5827¹
LCM(58250,58270) = 339422750