What is the Least Common Multiple of 81724 and 81742?

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 81724 and 81742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81724 and 81742, than apply into the LCM equation.

GCF(81724,81742) = 2
LCM(81724,81742) = ( 81724 × 81742) / 2
LCM(81724,81742) = 6680283208 / 2
LCM(81724,81742) = 3340141604

Least Common Multiple (LCM) of 81724 and 81742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81724 and 81742. First we will calculate the prime factors of 81724 and 81742.

Prime Factorization of 81724

Prime Factorization of 81742

Now multiplying the highest exponent prime factors to calculate the LCM of 81724 and 81742.

LCM(81724,81742) = 2² × 20431¹ × 23¹ × 1777¹
LCM(81724,81742) = 3340141604