What is the Least Common Multiple of 24744 and 24753?

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 24744 and 24753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24744 and 24753, than apply into the LCM equation.

GCF(24744,24753) = 3
LCM(24744,24753) = ( 24744 × 24753) / 3
LCM(24744,24753) = 612488232 / 3
LCM(24744,24753) = 204162744

Least Common Multiple (LCM) of 24744 and 24753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24744 and 24753. First we will calculate the prime factors of 24744 and 24753.

Prime Factorization of 24744

Prime Factorization of 24753

Now multiplying the highest exponent prime factors to calculate the LCM of 24744 and 24753.

LCM(24744,24753) = 2³ × 3¹ × 1031¹ × 37¹ × 223¹
LCM(24744,24753) = 204162744