What is the Least Common Multiple of 24398 and 24410?

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 24398 and 24410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24398 and 24410, than apply into the LCM equation.

GCF(24398,24410) = 2
LCM(24398,24410) = ( 24398 × 24410) / 2
LCM(24398,24410) = 595555180 / 2
LCM(24398,24410) = 297777590

Least Common Multiple (LCM) of 24398 and 24410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24398 and 24410. First we will calculate the prime factors of 24398 and 24410.

Prime Factorization of 24398

Prime Factorization of 24410

Now multiplying the highest exponent prime factors to calculate the LCM of 24398 and 24410.

LCM(24398,24410) = 2¹ × 11¹ × 1109¹ × 5¹ × 2441¹
LCM(24398,24410) = 297777590