What is the Least Common Multiple of 24417 and 24421?

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 24417 and 24421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24417 and 24421, than apply into the LCM equation.

GCF(24417,24421) = 1
LCM(24417,24421) = ( 24417 × 24421) / 1
LCM(24417,24421) = 596287557 / 1
LCM(24417,24421) = 596287557

Least Common Multiple (LCM) of 24417 and 24421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24417 and 24421. First we will calculate the prime factors of 24417 and 24421.

Prime Factorization of 24417

Prime Factorization of 24421

Now multiplying the highest exponent prime factors to calculate the LCM of 24417 and 24421.

LCM(24417,24421) = 3² × 2713¹ × 24421¹
LCM(24417,24421) = 596287557