What is the Least Common Multiple of 82838 and 82846?

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 82838 and 82846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82838 and 82846, than apply into the LCM equation.

GCF(82838,82846) = 2
LCM(82838,82846) = ( 82838 × 82846) / 2
LCM(82838,82846) = 6862796948 / 2
LCM(82838,82846) = 3431398474

Least Common Multiple (LCM) of 82838 and 82846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82838 and 82846. First we will calculate the prime factors of 82838 and 82846.

Prime Factorization of 82838

Prime Factorization of 82846

Now multiplying the highest exponent prime factors to calculate the LCM of 82838 and 82846.

LCM(82838,82846) = 2¹ × 7¹ × 61¹ × 97¹ × 23¹ × 1801¹
LCM(82838,82846) = 3431398474