What is the Least Common Multiple of 81729 and 81747?

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 81729 and 81747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81729 and 81747, than apply into the LCM equation.

GCF(81729,81747) = 9
LCM(81729,81747) = ( 81729 × 81747) / 9
LCM(81729,81747) = 6681100563 / 9
LCM(81729,81747) = 742344507

Least Common Multiple (LCM) of 81729 and 81747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81729 and 81747. First we will calculate the prime factors of 81729 and 81747.

Prime Factorization of 81729

Prime Factorization of 81747

Now multiplying the highest exponent prime factors to calculate the LCM of 81729 and 81747.

LCM(81729,81747) = 3⁴ × 1009¹ × 31¹ × 293¹
LCM(81729,81747) = 742344507