What is the Least Common Multiple of 24512 and 24532?

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 24512 and 24532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24512 and 24532, than apply into the LCM equation.

GCF(24512,24532) = 4
LCM(24512,24532) = ( 24512 × 24532) / 4
LCM(24512,24532) = 601328384 / 4
LCM(24512,24532) = 150332096

Least Common Multiple (LCM) of 24512 and 24532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24512 and 24532. First we will calculate the prime factors of 24512 and 24532.

Prime Factorization of 24512

Prime Factorization of 24532

Now multiplying the highest exponent prime factors to calculate the LCM of 24512 and 24532.

LCM(24512,24532) = 2⁶ × 383¹ × 6133¹
LCM(24512,24532) = 150332096