What is the Least Common Multiple of 24669 and 24675?

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 24669 and 24675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24669 and 24675, than apply into the LCM equation.

GCF(24669,24675) = 3
LCM(24669,24675) = ( 24669 × 24675) / 3
LCM(24669,24675) = 608707575 / 3
LCM(24669,24675) = 202902525

Least Common Multiple (LCM) of 24669 and 24675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24669 and 24675. First we will calculate the prime factors of 24669 and 24675.

Prime Factorization of 24669

Prime Factorization of 24675

Now multiplying the highest exponent prime factors to calculate the LCM of 24669 and 24675.

LCM(24669,24675) = 3² × 2741¹ × 5² × 7¹ × 47¹
LCM(24669,24675) = 202902525