What is the Least Common Multiple of 96240 and 96250?

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 96240 and 96250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96240 and 96250, than apply into the LCM equation.

GCF(96240,96250) = 10
LCM(96240,96250) = ( 96240 × 96250) / 10
LCM(96240,96250) = 9263100000 / 10
LCM(96240,96250) = 926310000

Least Common Multiple (LCM) of 96240 and 96250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96240 and 96250. First we will calculate the prime factors of 96240 and 96250.

Prime Factorization of 96240

Prime Factorization of 96250

Now multiplying the highest exponent prime factors to calculate the LCM of 96240 and 96250.

LCM(96240,96250) = 2⁴ × 3¹ × 5⁴ × 401¹ × 7¹ × 11¹
LCM(96240,96250) = 926310000