What is the Least Common Multiple of 96250 and 96256?

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 96256 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 96256, than apply into the LCM equation.

GCF(96250,96256) = 2
LCM(96250,96256) = ( 96250 × 96256) / 2
LCM(96250,96256) = 9264640000 / 2
LCM(96250,96256) = 4632320000

Least Common Multiple (LCM) of 96250 and 96256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96250 and 96256. First we will calculate the prime factors of 96250 and 96256.

Prime Factorization of 96250

Prime Factorization of 96256

Now multiplying the highest exponent prime factors to calculate the LCM of 96250 and 96256.

LCM(96250,96256) = 2¹¹ × 5⁴ × 7¹ × 11¹ × 47¹
LCM(96250,96256) = 4632320000