What is the Least Common Multiple of 81714 and 81729?

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 81714 and 81729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81714 and 81729, than apply into the LCM equation.

GCF(81714,81729) = 3
LCM(81714,81729) = ( 81714 × 81729) / 3
LCM(81714,81729) = 6678403506 / 3
LCM(81714,81729) = 2226134502

Least Common Multiple (LCM) of 81714 and 81729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81714 and 81729. First we will calculate the prime factors of 81714 and 81729.

Prime Factorization of 81714

Prime Factorization of 81729

Now multiplying the highest exponent prime factors to calculate the LCM of 81714 and 81729.

LCM(81714,81729) = 2¹ × 3⁴ × 13619¹ × 1009¹
LCM(81714,81729) = 2226134502