What is the Least Common Multiple of 2509 and 2524?

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 2509 and 2524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2509 and 2524, than apply into the LCM equation.

GCF(2509,2524) = 1
LCM(2509,2524) = ( 2509 × 2524) / 1
LCM(2509,2524) = 6332716 / 1
LCM(2509,2524) = 6332716

Least Common Multiple (LCM) of 2509 and 2524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2509 and 2524. First we will calculate the prime factors of 2509 and 2524.

Prime Factorization of 2509

Prime Factorization of 2524

Now multiplying the highest exponent prime factors to calculate the LCM of 2509 and 2524.

LCM(2509,2524) = 13¹ × 193¹ × 2² × 631¹
LCM(2509,2524) = 6332716