What is the Least Common Multiple of 24494 and 24512?

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 24494 and 24512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24494 and 24512, than apply into the LCM equation.

GCF(24494,24512) = 2
LCM(24494,24512) = ( 24494 × 24512) / 2
LCM(24494,24512) = 600396928 / 2
LCM(24494,24512) = 300198464

Least Common Multiple (LCM) of 24494 and 24512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24494 and 24512. First we will calculate the prime factors of 24494 and 24512.

Prime Factorization of 24494

Prime Factorization of 24512

Now multiplying the highest exponent prime factors to calculate the LCM of 24494 and 24512.

LCM(24494,24512) = 2⁶ × 37¹ × 331¹ × 383¹
LCM(24494,24512) = 300198464