What is the Least Common Multiple of 2505 and 2512?

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 2505 and 2512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2505 and 2512, than apply into the LCM equation.

GCF(2505,2512) = 1
LCM(2505,2512) = ( 2505 × 2512) / 1
LCM(2505,2512) = 6292560 / 1
LCM(2505,2512) = 6292560

Least Common Multiple (LCM) of 2505 and 2512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2505 and 2512. First we will calculate the prime factors of 2505 and 2512.

Prime Factorization of 2505

Prime Factorization of 2512

Now multiplying the highest exponent prime factors to calculate the LCM of 2505 and 2512.

LCM(2505,2512) = 3¹ × 5¹ × 167¹ × 2⁴ × 157¹
LCM(2505,2512) = 6292560