What is the Least Common Multiple of 2575 and 2580?

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 2575 and 2580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2575 and 2580, than apply into the LCM equation.

GCF(2575,2580) = 5
LCM(2575,2580) = ( 2575 × 2580) / 5
LCM(2575,2580) = 6643500 / 5
LCM(2575,2580) = 1328700

Least Common Multiple (LCM) of 2575 and 2580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2575 and 2580. First we will calculate the prime factors of 2575 and 2580.

Prime Factorization of 2575

Prime Factorization of 2580

Now multiplying the highest exponent prime factors to calculate the LCM of 2575 and 2580.

LCM(2575,2580) = 5² × 103¹ × 2² × 3¹ × 43¹
LCM(2575,2580) = 1328700