What is the Least Common Multiple of 24513 and 24519?

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 24513 and 24519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24513 and 24519, than apply into the LCM equation.

GCF(24513,24519) = 3
LCM(24513,24519) = ( 24513 × 24519) / 3
LCM(24513,24519) = 601034247 / 3
LCM(24513,24519) = 200344749

Least Common Multiple (LCM) of 24513 and 24519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24513 and 24519. First we will calculate the prime factors of 24513 and 24519.

Prime Factorization of 24513

Prime Factorization of 24519

Now multiplying the highest exponent prime factors to calculate the LCM of 24513 and 24519.

LCM(24513,24519) = 3¹ × 8171¹ × 11¹ × 743¹
LCM(24513,24519) = 200344749