What is the Least Common Multiple of 96250 and 96261?

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 96261 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 96261, than apply into the LCM equation.

GCF(96250,96261) = 11
LCM(96250,96261) = ( 96250 × 96261) / 11
LCM(96250,96261) = 9265121250 / 11
LCM(96250,96261) = 842283750

Least Common Multiple (LCM) of 96250 and 96261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96250 and 96261. First we will calculate the prime factors of 96250 and 96261.

Prime Factorization of 96250

Prime Factorization of 96261

Now multiplying the highest exponent prime factors to calculate the LCM of 96250 and 96261.

LCM(96250,96261) = 2¹ × 5⁴ × 7¹ × 11¹ × 3¹ × 2917¹
LCM(96250,96261) = 842283750