What is the Least Common Multiple of 2509 and 2522?

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 2522 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 2522, than apply into the LCM equation.

GCF(2509,2522) = 13
LCM(2509,2522) = ( 2509 × 2522) / 13
LCM(2509,2522) = 6327698 / 13
LCM(2509,2522) = 486746

Least Common Multiple (LCM) of 2509 and 2522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2509 and 2522. First we will calculate the prime factors of 2509 and 2522.

Prime Factorization of 2509

Prime Factorization of 2522

Now multiplying the highest exponent prime factors to calculate the LCM of 2509 and 2522.

LCM(2509,2522) = 13¹ × 193¹ × 2¹ × 97¹
LCM(2509,2522) = 486746