What is the Least Common Multiple of 24458 and 24464?

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 24458 and 24464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24458 and 24464, than apply into the LCM equation.

GCF(24458,24464) = 2
LCM(24458,24464) = ( 24458 × 24464) / 2
LCM(24458,24464) = 598340512 / 2
LCM(24458,24464) = 299170256

Least Common Multiple (LCM) of 24458 and 24464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24458 and 24464. First we will calculate the prime factors of 24458 and 24464.

Prime Factorization of 24458

Prime Factorization of 24464

Now multiplying the highest exponent prime factors to calculate the LCM of 24458 and 24464.

LCM(24458,24464) = 2⁴ × 7¹ × 1747¹ × 11¹ × 139¹
LCM(24458,24464) = 299170256