What is the Least Common Multiple of 96256 and 96272?

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 96256 and 96272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96256 and 96272, than apply into the LCM equation.

GCF(96256,96272) = 16
LCM(96256,96272) = ( 96256 × 96272) / 16
LCM(96256,96272) = 9266757632 / 16
LCM(96256,96272) = 579172352

Least Common Multiple (LCM) of 96256 and 96272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96256 and 96272. First we will calculate the prime factors of 96256 and 96272.

Prime Factorization of 96256

Prime Factorization of 96272

Now multiplying the highest exponent prime factors to calculate the LCM of 96256 and 96272.

LCM(96256,96272) = 2¹¹ × 47¹ × 11¹ × 547¹
LCM(96256,96272) = 579172352