What is the Least Common Multiple of 81854 and 81872?

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 81854 and 81872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81854 and 81872, than apply into the LCM equation.

GCF(81854,81872) = 2
LCM(81854,81872) = ( 81854 × 81872) / 2
LCM(81854,81872) = 6701550688 / 2
LCM(81854,81872) = 3350775344

Least Common Multiple (LCM) of 81854 and 81872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81854 and 81872. First we will calculate the prime factors of 81854 and 81872.

Prime Factorization of 81854

Prime Factorization of 81872

Now multiplying the highest exponent prime factors to calculate the LCM of 81854 and 81872.

LCM(81854,81872) = 2⁴ × 40927¹ × 7¹ × 17¹ × 43¹
LCM(81854,81872) = 3350775344