What is the Least Common Multiple of 96250 and 96257?

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 96250 and 96257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96250 and 96257, than apply into the LCM equation.

GCF(96250,96257) = 7
LCM(96250,96257) = ( 96250 × 96257) / 7
LCM(96250,96257) = 9264736250 / 7
LCM(96250,96257) = 1323533750

Least Common Multiple (LCM) of 96250 and 96257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96250 and 96257. First we will calculate the prime factors of 96250 and 96257.

Prime Factorization of 96250

Prime Factorization of 96257

Now multiplying the highest exponent prime factors to calculate the LCM of 96250 and 96257.

LCM(96250,96257) = 2¹ × 5⁴ × 7¹ × 11¹ × 13751¹
LCM(96250,96257) = 1323533750