What is the Least Common Multiple of 24325 and 24341?

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 24325 and 24341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24325 and 24341, than apply into the LCM equation.

GCF(24325,24341) = 1
LCM(24325,24341) = ( 24325 × 24341) / 1
LCM(24325,24341) = 592094825 / 1
LCM(24325,24341) = 592094825

Least Common Multiple (LCM) of 24325 and 24341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24325 and 24341. First we will calculate the prime factors of 24325 and 24341.

Prime Factorization of 24325

Prime Factorization of 24341

Now multiplying the highest exponent prime factors to calculate the LCM of 24325 and 24341.

LCM(24325,24341) = 5² × 7¹ × 139¹ × 101¹ × 241¹
LCM(24325,24341) = 592094825