What is the Least Common Multiple of 81821 and 81838?

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 81821 and 81838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81821 and 81838, than apply into the LCM equation.

GCF(81821,81838) = 17
LCM(81821,81838) = ( 81821 × 81838) / 17
LCM(81821,81838) = 6696066998 / 17
LCM(81821,81838) = 393886294

Least Common Multiple (LCM) of 81821 and 81838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81821 and 81838. First we will calculate the prime factors of 81821 and 81838.

Prime Factorization of 81821

Prime Factorization of 81838

Now multiplying the highest exponent prime factors to calculate the LCM of 81821 and 81838.

LCM(81821,81838) = 17¹ × 4813¹ × 2¹ × 29¹ × 83¹
LCM(81821,81838) = 393886294