What is the Least Common Multiple of 20580 and 20590?

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 20580 and 20590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20580 and 20590, than apply into the LCM equation.

GCF(20580,20590) = 10
LCM(20580,20590) = ( 20580 × 20590) / 10
LCM(20580,20590) = 423742200 / 10
LCM(20580,20590) = 42374220

Least Common Multiple (LCM) of 20580 and 20590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20580 and 20590. First we will calculate the prime factors of 20580 and 20590.

Prime Factorization of 20580

Prime Factorization of 20590

Now multiplying the highest exponent prime factors to calculate the LCM of 20580 and 20590.

LCM(20580,20590) = 2² × 3¹ × 5¹ × 7³ × 29¹ × 71¹
LCM(20580,20590) = 42374220