What is the Least Common Multiple of 65819 and 65837?

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 65819 and 65837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65819 and 65837, than apply into the LCM equation.

GCF(65819,65837) = 1
LCM(65819,65837) = ( 65819 × 65837) / 1
LCM(65819,65837) = 4333325503 / 1
LCM(65819,65837) = 4333325503

Least Common Multiple (LCM) of 65819 and 65837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65819 and 65837. First we will calculate the prime factors of 65819 and 65837.

Prime Factorization of 65819

Prime Factorization of 65837

Now multiplying the highest exponent prime factors to calculate the LCM of 65819 and 65837.

LCM(65819,65837) = 13¹ × 61¹ × 83¹ × 65837¹
LCM(65819,65837) = 4333325503