What is the Least Common Multiple of 24893 and 24908?

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 24893 and 24908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24893 and 24908, than apply into the LCM equation.

GCF(24893,24908) = 1
LCM(24893,24908) = ( 24893 × 24908) / 1
LCM(24893,24908) = 620034844 / 1
LCM(24893,24908) = 620034844

Least Common Multiple (LCM) of 24893 and 24908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24893 and 24908. First we will calculate the prime factors of 24893 and 24908.

Prime Factorization of 24893

Prime Factorization of 24908

Now multiplying the highest exponent prime factors to calculate the LCM of 24893 and 24908.

LCM(24893,24908) = 11¹ × 31¹ × 73¹ × 2² × 13¹ × 479¹
LCM(24893,24908) = 620034844