What is the Least Common Multiple of 2504 and 2509?

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 2504 and 2509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2504 and 2509, than apply into the LCM equation.

GCF(2504,2509) = 1
LCM(2504,2509) = ( 2504 × 2509) / 1
LCM(2504,2509) = 6282536 / 1
LCM(2504,2509) = 6282536

Least Common Multiple (LCM) of 2504 and 2509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2504 and 2509. First we will calculate the prime factors of 2504 and 2509.

Prime Factorization of 2504

Prime Factorization of 2509

Now multiplying the highest exponent prime factors to calculate the LCM of 2504 and 2509.

LCM(2504,2509) = 2³ × 313¹ × 13¹ × 193¹
LCM(2504,2509) = 6282536