What is the Least Common Multiple of 81912 and 81917?

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 81912 and 81917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81912 and 81917, than apply into the LCM equation.

GCF(81912,81917) = 1
LCM(81912,81917) = ( 81912 × 81917) / 1
LCM(81912,81917) = 6709985304 / 1
LCM(81912,81917) = 6709985304

Least Common Multiple (LCM) of 81912 and 81917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81912 and 81917. First we will calculate the prime factors of 81912 and 81917.

Prime Factorization of 81912

Prime Factorization of 81917

Now multiplying the highest exponent prime factors to calculate the LCM of 81912 and 81917.

LCM(81912,81917) = 2³ × 3¹ × 3413¹ × 11² × 677¹
LCM(81912,81917) = 6709985304