What is the Least Common Multiple of 24435 and 24449?

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 24435 and 24449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24435 and 24449, than apply into the LCM equation.

GCF(24435,24449) = 1
LCM(24435,24449) = ( 24435 × 24449) / 1
LCM(24435,24449) = 597411315 / 1
LCM(24435,24449) = 597411315

Least Common Multiple (LCM) of 24435 and 24449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24435 and 24449. First we will calculate the prime factors of 24435 and 24449.

Prime Factorization of 24435

Prime Factorization of 24449

Now multiplying the highest exponent prime factors to calculate the LCM of 24435 and 24449.

LCM(24435,24449) = 3³ × 5¹ × 181¹ × 23¹ × 1063¹
LCM(24435,24449) = 597411315