What is the Least Common Multiple of 68580 and 68590?

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 68580 and 68590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68580 and 68590, than apply into the LCM equation.

GCF(68580,68590) = 10
LCM(68580,68590) = ( 68580 × 68590) / 10
LCM(68580,68590) = 4703902200 / 10
LCM(68580,68590) = 470390220

Least Common Multiple (LCM) of 68580 and 68590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68580 and 68590. First we will calculate the prime factors of 68580 and 68590.

Prime Factorization of 68580

Prime Factorization of 68590

Now multiplying the highest exponent prime factors to calculate the LCM of 68580 and 68590.

LCM(68580,68590) = 2² × 3³ × 5¹ × 127¹ × 19³
LCM(68580,68590) = 470390220