What is the Least Common Multiple of 2580 and 2590?

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 2580 and 2590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2580 and 2590, than apply into the LCM equation.

GCF(2580,2590) = 10
LCM(2580,2590) = ( 2580 × 2590) / 10
LCM(2580,2590) = 6682200 / 10
LCM(2580,2590) = 668220

Least Common Multiple (LCM) of 2580 and 2590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2580 and 2590. First we will calculate the prime factors of 2580 and 2590.

Prime Factorization of 2580

Prime Factorization of 2590

Now multiplying the highest exponent prime factors to calculate the LCM of 2580 and 2590.

LCM(2580,2590) = 2² × 3¹ × 5¹ × 43¹ × 7¹ × 37¹
LCM(2580,2590) = 668220