What is the Least Common Multiple of 36250 and 36257?

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 36250 and 36257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36250 and 36257, than apply into the LCM equation.

GCF(36250,36257) = 1
LCM(36250,36257) = ( 36250 × 36257) / 1
LCM(36250,36257) = 1314316250 / 1
LCM(36250,36257) = 1314316250

Least Common Multiple (LCM) of 36250 and 36257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36250 and 36257. First we will calculate the prime factors of 36250 and 36257.

Prime Factorization of 36250

Prime Factorization of 36257

Now multiplying the highest exponent prime factors to calculate the LCM of 36250 and 36257.

LCM(36250,36257) = 2¹ × 5⁴ × 29¹ × 13¹ × 2789¹
LCM(36250,36257) = 1314316250