What is the Least Common Multiple of 80580 and 80590?

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 80580 and 80590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80580 and 80590, than apply into the LCM equation.

GCF(80580,80590) = 10
LCM(80580,80590) = ( 80580 × 80590) / 10
LCM(80580,80590) = 6493942200 / 10
LCM(80580,80590) = 649394220

Least Common Multiple (LCM) of 80580 and 80590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80580 and 80590. First we will calculate the prime factors of 80580 and 80590.

Prime Factorization of 80580

Prime Factorization of 80590

Now multiplying the highest exponent prime factors to calculate the LCM of 80580 and 80590.

LCM(80580,80590) = 2² × 3¹ × 5¹ × 17¹ × 79¹ × 8059¹
LCM(80580,80590) = 649394220