What is the Least Common Multiple of 81708 and 81724?

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 81708 and 81724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81708 and 81724, than apply into the LCM equation.

GCF(81708,81724) = 4
LCM(81708,81724) = ( 81708 × 81724) / 4
LCM(81708,81724) = 6677504592 / 4
LCM(81708,81724) = 1669376148

Least Common Multiple (LCM) of 81708 and 81724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81708 and 81724. First we will calculate the prime factors of 81708 and 81724.

Prime Factorization of 81708

Prime Factorization of 81724

Now multiplying the highest exponent prime factors to calculate the LCM of 81708 and 81724.

LCM(81708,81724) = 2² × 3¹ × 11¹ × 619¹ × 20431¹
LCM(81708,81724) = 1669376148