What is the Least Common Multiple of 2675 and 2680?

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 2675 and 2680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2675 and 2680, than apply into the LCM equation.

GCF(2675,2680) = 5
LCM(2675,2680) = ( 2675 × 2680) / 5
LCM(2675,2680) = 7169000 / 5
LCM(2675,2680) = 1433800

Least Common Multiple (LCM) of 2675 and 2680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2675 and 2680. First we will calculate the prime factors of 2675 and 2680.

Prime Factorization of 2675

Prime Factorization of 2680

Now multiplying the highest exponent prime factors to calculate the LCM of 2675 and 2680.

LCM(2675,2680) = 5² × 107¹ × 2³ × 67¹
LCM(2675,2680) = 1433800