What is the Least Common Multiple of 24398 and 24409?

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 24409 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 24409, than apply into the LCM equation.

GCF(24398,24409) = 11
LCM(24398,24409) = ( 24398 × 24409) / 11
LCM(24398,24409) = 595530782 / 11
LCM(24398,24409) = 54139162

Least Common Multiple (LCM) of 24398 and 24409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24398 and 24409. First we will calculate the prime factors of 24398 and 24409.

Prime Factorization of 24398

Prime Factorization of 24409

Now multiplying the highest exponent prime factors to calculate the LCM of 24398 and 24409.

LCM(24398,24409) = 2¹ × 11¹ × 1109¹ × 7¹ × 317¹
LCM(24398,24409) = 54139162