What is the Least Common Multiple of 81786 and 81792?

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 81786 and 81792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81786 and 81792, than apply into the LCM equation.

GCF(81786,81792) = 6
LCM(81786,81792) = ( 81786 × 81792) / 6
LCM(81786,81792) = 6689440512 / 6
LCM(81786,81792) = 1114906752

Least Common Multiple (LCM) of 81786 and 81792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81786 and 81792. First we will calculate the prime factors of 81786 and 81792.

Prime Factorization of 81786

Prime Factorization of 81792

Now multiplying the highest exponent prime factors to calculate the LCM of 81786 and 81792.

LCM(81786,81792) = 2⁷ × 3² × 43¹ × 317¹ × 71¹
LCM(81786,81792) = 1114906752