What is the Least Common Multiple of 90855 and 90865?

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 90855 and 90865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90855 and 90865, than apply into the LCM equation.

GCF(90855,90865) = 5
LCM(90855,90865) = ( 90855 × 90865) / 5
LCM(90855,90865) = 8255539575 / 5
LCM(90855,90865) = 1651107915

Least Common Multiple (LCM) of 90855 and 90865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90855 and 90865. First we will calculate the prime factors of 90855 and 90865.

Prime Factorization of 90855

Prime Factorization of 90865

Now multiplying the highest exponent prime factors to calculate the LCM of 90855 and 90865.

LCM(90855,90865) = 3³ × 5¹ × 673¹ × 17¹ × 1069¹
LCM(90855,90865) = 1651107915