What is the Least Common Multiple of 24472 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 24472 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 24472 and 24489, than apply into the LCM equation.

GCF(24472,24489) = 1
LCM(24472,24489) = ( 24472 × 24489) / 1
LCM(24472,24489) = 599294808 / 1
LCM(24472,24489) = 599294808

Least Common Multiple (LCM) of 24472 and 24489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24472 and 24489. First we will calculate the prime factors of 24472 and 24489.

Prime Factorization of 24472

Prime Factorization of 24489

Now multiplying the highest exponent prime factors to calculate the LCM of 24472 and 24489.

LCM(24472,24489) = 2³ × 7¹ × 19¹ × 23¹ × 3³ × 907¹
LCM(24472,24489) = 599294808