What is the Least Common Multiple of 85578 and 85590?

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 85578 and 85590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85578 and 85590, than apply into the LCM equation.

GCF(85578,85590) = 6
LCM(85578,85590) = ( 85578 × 85590) / 6
LCM(85578,85590) = 7324621020 / 6
LCM(85578,85590) = 1220770170

Least Common Multiple (LCM) of 85578 and 85590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85578 and 85590. First we will calculate the prime factors of 85578 and 85590.

Prime Factorization of 85578

Prime Factorization of 85590

Now multiplying the highest exponent prime factors to calculate the LCM of 85578 and 85590.

LCM(85578,85590) = 2¹ × 3³ × 17¹ × 839¹ × 5¹ × 317¹
LCM(85578,85590) = 1220770170