What is the Least Common Multiple of 24660 and 24669?

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 24660 and 24669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24660 and 24669, than apply into the LCM equation.

GCF(24660,24669) = 9
LCM(24660,24669) = ( 24660 × 24669) / 9
LCM(24660,24669) = 608337540 / 9
LCM(24660,24669) = 67593060

Least Common Multiple (LCM) of 24660 and 24669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24660 and 24669. First we will calculate the prime factors of 24660 and 24669.

Prime Factorization of 24660

Prime Factorization of 24669

Now multiplying the highest exponent prime factors to calculate the LCM of 24660 and 24669.

LCM(24660,24669) = 2² × 3² × 5¹ × 137¹ × 2741¹
LCM(24660,24669) = 67593060