What is the Least Common Multiple of 40584 and 40590?

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 40584 and 40590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40584 and 40590, than apply into the LCM equation.

GCF(40584,40590) = 6
LCM(40584,40590) = ( 40584 × 40590) / 6
LCM(40584,40590) = 1647304560 / 6
LCM(40584,40590) = 274550760

Least Common Multiple (LCM) of 40584 and 40590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40584 and 40590. First we will calculate the prime factors of 40584 and 40590.

Prime Factorization of 40584

Prime Factorization of 40590

Now multiplying the highest exponent prime factors to calculate the LCM of 40584 and 40590.

LCM(40584,40590) = 2³ × 3² × 19¹ × 89¹ × 5¹ × 11¹ × 41¹
LCM(40584,40590) = 274550760