What is the Least Common Multiple of 82826 and 82841?

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 82826 and 82841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82826 and 82841, than apply into the LCM equation.

GCF(82826,82841) = 1
LCM(82826,82841) = ( 82826 × 82841) / 1
LCM(82826,82841) = 6861388666 / 1
LCM(82826,82841) = 6861388666

Least Common Multiple (LCM) of 82826 and 82841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82826 and 82841. First we will calculate the prime factors of 82826 and 82841.

Prime Factorization of 82826

Prime Factorization of 82841

Now multiplying the highest exponent prime factors to calculate the LCM of 82826 and 82841.

LCM(82826,82841) = 2¹ × 41413¹ × 11¹ × 17¹ × 443¹
LCM(82826,82841) = 6861388666