What is the Least Common Multiple of 24993 and 24997?

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 24993 and 24997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24993 and 24997, than apply into the LCM equation.

GCF(24993,24997) = 1
LCM(24993,24997) = ( 24993 × 24997) / 1
LCM(24993,24997) = 624750021 / 1
LCM(24993,24997) = 624750021

Least Common Multiple (LCM) of 24993 and 24997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24993 and 24997. First we will calculate the prime factors of 24993 and 24997.

Prime Factorization of 24993

Prime Factorization of 24997

Now multiplying the highest exponent prime factors to calculate the LCM of 24993 and 24997.

LCM(24993,24997) = 3² × 2777¹ × 7¹ × 3571¹
LCM(24993,24997) = 624750021