What is the Least Common Multiple of 2512 and 2530?

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 2512 and 2530 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 2530, than apply into the LCM equation.

GCF(2512,2530) = 2
LCM(2512,2530) = ( 2512 × 2530) / 2
LCM(2512,2530) = 6355360 / 2
LCM(2512,2530) = 3177680

Least Common Multiple (LCM) of 2512 and 2530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2512 and 2530. First we will calculate the prime factors of 2512 and 2530.

Prime Factorization of 2512

Prime Factorization of 2530

Now multiplying the highest exponent prime factors to calculate the LCM of 2512 and 2530.

LCM(2512,2530) = 2⁴ × 157¹ × 5¹ × 11¹ × 23¹
LCM(2512,2530) = 3177680