What is the Least Common Multiple of 24600 and 24605?

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 24600 and 24605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24600 and 24605, than apply into the LCM equation.

GCF(24600,24605) = 5
LCM(24600,24605) = ( 24600 × 24605) / 5
LCM(24600,24605) = 605283000 / 5
LCM(24600,24605) = 121056600

Least Common Multiple (LCM) of 24600 and 24605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24600 and 24605. First we will calculate the prime factors of 24600 and 24605.

Prime Factorization of 24600

Prime Factorization of 24605

Now multiplying the highest exponent prime factors to calculate the LCM of 24600 and 24605.

LCM(24600,24605) = 2³ × 3¹ × 5² × 41¹ × 7¹ × 19¹ × 37¹
LCM(24600,24605) = 121056600