What is the Least Common Multiple of 24432 and 24451?

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 24432 and 24451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24432 and 24451, than apply into the LCM equation.

GCF(24432,24451) = 1
LCM(24432,24451) = ( 24432 × 24451) / 1
LCM(24432,24451) = 597386832 / 1
LCM(24432,24451) = 597386832

Least Common Multiple (LCM) of 24432 and 24451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24432 and 24451. First we will calculate the prime factors of 24432 and 24451.

Prime Factorization of 24432

Prime Factorization of 24451

Now multiplying the highest exponent prime factors to calculate the LCM of 24432 and 24451.

LCM(24432,24451) = 2⁴ × 3¹ × 509¹ × 7² × 499¹
LCM(24432,24451) = 597386832