What is the Least Common Multiple of 24477 and 24489?

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 24477 and 24489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24477 and 24489, than apply into the LCM equation.

GCF(24477,24489) = 3
LCM(24477,24489) = ( 24477 × 24489) / 3
LCM(24477,24489) = 599417253 / 3
LCM(24477,24489) = 199805751

Least Common Multiple (LCM) of 24477 and 24489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24477 and 24489. First we will calculate the prime factors of 24477 and 24489.

Prime Factorization of 24477

Prime Factorization of 24489

Now multiplying the highest exponent prime factors to calculate the LCM of 24477 and 24489.

LCM(24477,24489) = 3³ × 41¹ × 199¹ × 907¹
LCM(24477,24489) = 199805751