What is the Least Common Multiple of 68571 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 68571 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 68571 and 68590, than apply into the LCM equation.

GCF(68571,68590) = 19
LCM(68571,68590) = ( 68571 × 68590) / 19
LCM(68571,68590) = 4703284890 / 19
LCM(68571,68590) = 247541310

Least Common Multiple (LCM) of 68571 and 68590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68571 and 68590. First we will calculate the prime factors of 68571 and 68590.

Prime Factorization of 68571

Prime Factorization of 68590

Now multiplying the highest exponent prime factors to calculate the LCM of 68571 and 68590.

LCM(68571,68590) = 3² × 19³ × 401¹ × 2¹ × 5¹
LCM(68571,68590) = 247541310