What is the Least Common Multiple of 58250 and 58256?

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 58256 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 58256, than apply into the LCM equation.

GCF(58250,58256) = 2
LCM(58250,58256) = ( 58250 × 58256) / 2
LCM(58250,58256) = 3393412000 / 2
LCM(58250,58256) = 1696706000

Least Common Multiple (LCM) of 58250 and 58256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58250 and 58256. First we will calculate the prime factors of 58250 and 58256.

Prime Factorization of 58250

Prime Factorization of 58256

Now multiplying the highest exponent prime factors to calculate the LCM of 58250 and 58256.

LCM(58250,58256) = 2⁴ × 5³ × 233¹ × 11¹ × 331¹
LCM(58250,58256) = 1696706000