What is the Least Common Multiple of 24345 and 24354?

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 24345 and 24354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24345 and 24354, than apply into the LCM equation.

GCF(24345,24354) = 9
LCM(24345,24354) = ( 24345 × 24354) / 9
LCM(24345,24354) = 592898130 / 9
LCM(24345,24354) = 65877570

Least Common Multiple (LCM) of 24345 and 24354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24345 and 24354. First we will calculate the prime factors of 24345 and 24354.

Prime Factorization of 24345

Prime Factorization of 24354

Now multiplying the highest exponent prime factors to calculate the LCM of 24345 and 24354.

LCM(24345,24354) = 3³ × 5¹ × 541¹ × 2¹ × 11¹ × 41¹
LCM(24345,24354) = 65877570