GCF and LCM Calculator Logo

What is the Least Common Multiple of 2512 and 2520?

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 2512 and 2520 is 791280.

LCM(2512,2520) = 791280

LCM Calculator and
and

Least Common Multiple of 2512 and 2520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2512 and 2520, than apply into the LCM equation.

GCF(2512,2520) = 8
LCM(2512,2520) = ( 2512 × 2520) / 8
LCM(2512,2520) = 6330240 / 8
LCM(2512,2520) = 791280

Least Common Multiple (LCM) of 2512 and 2520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2512 and 2520. First we will calculate the prime factors of 2512 and 2520.

Prime Factorization of 2512

Prime factors of 2512 are 2, 157. Prime factorization of 2512 in exponential form is:

2512 = 24 × 1571

Prime Factorization of 2520

Prime factors of 2520 are 2, 3, 5, 7. Prime factorization of 2520 in exponential form is:

2520 = 23 × 32 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 2512 and 2520.

LCM(2512,2520) = 24 × 1571 × 32 × 51 × 71
LCM(2512,2520) = 791280