What is the Least Common Multiple of 81855 and 81864?

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 81855 and 81864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81855 and 81864, than apply into the LCM equation.

GCF(81855,81864) = 9
LCM(81855,81864) = ( 81855 × 81864) / 9
LCM(81855,81864) = 6700977720 / 9
LCM(81855,81864) = 744553080

Least Common Multiple (LCM) of 81855 and 81864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81855 and 81864. First we will calculate the prime factors of 81855 and 81864.

Prime Factorization of 81855

Prime Factorization of 81864

Now multiplying the highest exponent prime factors to calculate the LCM of 81855 and 81864.

LCM(81855,81864) = 3³ × 5¹ × 17¹ × 107¹ × 2³ × 379¹
LCM(81855,81864) = 744553080