What is the Least Common Multiple of 24418 and 24432?

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 24418 and 24432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24418 and 24432, than apply into the LCM equation.

GCF(24418,24432) = 2
LCM(24418,24432) = ( 24418 × 24432) / 2
LCM(24418,24432) = 596580576 / 2
LCM(24418,24432) = 298290288

Least Common Multiple (LCM) of 24418 and 24432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24418 and 24432. First we will calculate the prime factors of 24418 and 24432.

Prime Factorization of 24418

Prime Factorization of 24432

Now multiplying the highest exponent prime factors to calculate the LCM of 24418 and 24432.

LCM(24418,24432) = 2⁴ × 29¹ × 421¹ × 3¹ × 509¹
LCM(24418,24432) = 298290288