What is the Least Common Multiple of 81838 and 81857?

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 81838 and 81857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81838 and 81857, than apply into the LCM equation.

GCF(81838,81857) = 1
LCM(81838,81857) = ( 81838 × 81857) / 1
LCM(81838,81857) = 6699013166 / 1
LCM(81838,81857) = 6699013166

Least Common Multiple (LCM) of 81838 and 81857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81838 and 81857. First we will calculate the prime factors of 81838 and 81857.

Prime Factorization of 81838

Prime Factorization of 81857

Now multiplying the highest exponent prime factors to calculate the LCM of 81838 and 81857.

LCM(81838,81857) = 2¹ × 17¹ × 29¹ × 83¹ × 23¹ × 3559¹
LCM(81838,81857) = 6699013166