What is the Least Common Multiple of 24506 and 24513?

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 24506 and 24513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24506 and 24513, than apply into the LCM equation.

GCF(24506,24513) = 1
LCM(24506,24513) = ( 24506 × 24513) / 1
LCM(24506,24513) = 600715578 / 1
LCM(24506,24513) = 600715578

Least Common Multiple (LCM) of 24506 and 24513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24506 and 24513. First we will calculate the prime factors of 24506 and 24513.

Prime Factorization of 24506

Prime Factorization of 24513

Now multiplying the highest exponent prime factors to calculate the LCM of 24506 and 24513.

LCM(24506,24513) = 2¹ × 12253¹ × 3¹ × 8171¹
LCM(24506,24513) = 600715578