GCF and LCM Calculator Logo

What is the Least Common Multiple of 2508 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 (LCM) of 2508 and 2522 is 3162588.

LCM(2508,2522) = 3162588

LCM Calculator and
and

Least Common Multiple of 2508 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 2508 and 2522, than apply into the LCM equation.

GCF(2508,2522) = 2
LCM(2508,2522) = ( 2508 × 2522) / 2
LCM(2508,2522) = 6325176 / 2
LCM(2508,2522) = 3162588

Least Common Multiple (LCM) of 2508 and 2522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2508 and 2522. First we will calculate the prime factors of 2508 and 2522.

Prime Factorization of 2508

Prime factors of 2508 are 2, 3, 11, 19. Prime factorization of 2508 in exponential form is:

2508 = 22 × 31 × 111 × 191

Prime Factorization of 2522

Prime factors of 2522 are 2, 13, 97. Prime factorization of 2522 in exponential form is:

2522 = 21 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 2508 and 2522.

LCM(2508,2522) = 22 × 31 × 111 × 191 × 131 × 971
LCM(2508,2522) = 3162588