What is the Least Common Multiple of 82829 and 82837?

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 82829 and 82837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82829 and 82837, than apply into the LCM equation.

GCF(82829,82837) = 1
LCM(82829,82837) = ( 82829 × 82837) / 1
LCM(82829,82837) = 6861305873 / 1
LCM(82829,82837) = 6861305873

Least Common Multiple (LCM) of 82829 and 82837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82829 and 82837. First we will calculate the prime factors of 82829 and 82837.

Prime Factorization of 82829

Prime Factorization of 82837

Now multiplying the highest exponent prime factors to calculate the LCM of 82829 and 82837.

LCM(82829,82837) = 113¹ × 733¹ × 82837¹
LCM(82829,82837) = 6861305873