What is the Least Common Multiple of 81846 and 81855?

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 81846 and 81855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81846 and 81855, than apply into the LCM equation.

GCF(81846,81855) = 9
LCM(81846,81855) = ( 81846 × 81855) / 9
LCM(81846,81855) = 6699504330 / 9
LCM(81846,81855) = 744389370

Least Common Multiple (LCM) of 81846 and 81855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81846 and 81855. First we will calculate the prime factors of 81846 and 81855.

Prime Factorization of 81846

Prime Factorization of 81855

Now multiplying the highest exponent prime factors to calculate the LCM of 81846 and 81855.

LCM(81846,81855) = 2¹ × 3² × 4547¹ × 5¹ × 17¹ × 107¹
LCM(81846,81855) = 744389370