What is the Least Common Multiple of 82829 and 82843?

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 82843 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 82843, than apply into the LCM equation.

GCF(82829,82843) = 1
LCM(82829,82843) = ( 82829 × 82843) / 1
LCM(82829,82843) = 6861802847 / 1
LCM(82829,82843) = 6861802847

Least Common Multiple (LCM) of 82829 and 82843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82829 and 82843. First we will calculate the prime factors of 82829 and 82843.

Prime Factorization of 82829

Prime Factorization of 82843

Now multiplying the highest exponent prime factors to calculate the LCM of 82829 and 82843.

LCM(82829,82843) = 113¹ × 733¹ × 37¹ × 2239¹
LCM(82829,82843) = 6861802847