What is the Least Common Multiple of 24735 and 24744?

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 24735 and 24744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24735 and 24744, than apply into the LCM equation.

GCF(24735,24744) = 3
LCM(24735,24744) = ( 24735 × 24744) / 3
LCM(24735,24744) = 612042840 / 3
LCM(24735,24744) = 204014280

Least Common Multiple (LCM) of 24735 and 24744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24735 and 24744. First we will calculate the prime factors of 24735 and 24744.

Prime Factorization of 24735

Prime Factorization of 24744

Now multiplying the highest exponent prime factors to calculate the LCM of 24735 and 24744.

LCM(24735,24744) = 3¹ × 5¹ × 17¹ × 97¹ × 2³ × 1031¹
LCM(24735,24744) = 204014280