What is the Least Common Multiple of 24256 and 24270?

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 24256 and 24270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24256 and 24270, than apply into the LCM equation.

GCF(24256,24270) = 2
LCM(24256,24270) = ( 24256 × 24270) / 2
LCM(24256,24270) = 588693120 / 2
LCM(24256,24270) = 294346560

Least Common Multiple (LCM) of 24256 and 24270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24256 and 24270. First we will calculate the prime factors of 24256 and 24270.

Prime Factorization of 24256

Prime Factorization of 24270

Now multiplying the highest exponent prime factors to calculate the LCM of 24256 and 24270.

LCM(24256,24270) = 2⁶ × 379¹ × 3¹ × 5¹ × 809¹
LCM(24256,24270) = 294346560