What is the Least Common Multiple of 24805 and 24811?

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 24805 and 24811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24805 and 24811, than apply into the LCM equation.

GCF(24805,24811) = 1
LCM(24805,24811) = ( 24805 × 24811) / 1
LCM(24805,24811) = 615436855 / 1
LCM(24805,24811) = 615436855

Least Common Multiple (LCM) of 24805 and 24811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24805 and 24811. First we will calculate the prime factors of 24805 and 24811.

Prime Factorization of 24805

Prime Factorization of 24811

Now multiplying the highest exponent prime factors to calculate the LCM of 24805 and 24811.

LCM(24805,24811) = 5¹ × 11² × 41¹ × 43¹ × 577¹
LCM(24805,24811) = 615436855