What is the Least Common Multiple of 24550 and 24565?

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 24550 and 24565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24550 and 24565, than apply into the LCM equation.

GCF(24550,24565) = 5
LCM(24550,24565) = ( 24550 × 24565) / 5
LCM(24550,24565) = 603070750 / 5
LCM(24550,24565) = 120614150

Least Common Multiple (LCM) of 24550 and 24565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24550 and 24565. First we will calculate the prime factors of 24550 and 24565.

Prime Factorization of 24550

Prime Factorization of 24565

Now multiplying the highest exponent prime factors to calculate the LCM of 24550 and 24565.

LCM(24550,24565) = 2¹ × 5² × 491¹ × 17³
LCM(24550,24565) = 120614150