What is the Least Common Multiple of 2574 and 2583?

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 2574 and 2583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2574 and 2583, than apply into the LCM equation.

GCF(2574,2583) = 9
LCM(2574,2583) = ( 2574 × 2583) / 9
LCM(2574,2583) = 6648642 / 9
LCM(2574,2583) = 738738

Least Common Multiple (LCM) of 2574 and 2583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2574 and 2583. First we will calculate the prime factors of 2574 and 2583.

Prime Factorization of 2574

Prime Factorization of 2583

Now multiplying the highest exponent prime factors to calculate the LCM of 2574 and 2583.

LCM(2574,2583) = 2¹ × 3² × 11¹ × 13¹ × 7¹ × 41¹
LCM(2574,2583) = 738738