What is the Least Common Multiple of 96250 and 96270?

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 96270 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 96270, than apply into the LCM equation.

GCF(96250,96270) = 10
LCM(96250,96270) = ( 96250 × 96270) / 10
LCM(96250,96270) = 9265987500 / 10
LCM(96250,96270) = 926598750

Least Common Multiple (LCM) of 96250 and 96270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96250 and 96270. First we will calculate the prime factors of 96250 and 96270.

Prime Factorization of 96250

Prime Factorization of 96270

Now multiplying the highest exponent prime factors to calculate the LCM of 96250 and 96270.

LCM(96250,96270) = 2¹ × 5⁴ × 7¹ × 11¹ × 3¹ × 3209¹
LCM(96250,96270) = 926598750