What is the Least Common Multiple of 82943 and 82949?

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 82943 and 82949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82943 and 82949, than apply into the LCM equation.

GCF(82943,82949) = 1
LCM(82943,82949) = ( 82943 × 82949) / 1
LCM(82943,82949) = 6880038907 / 1
LCM(82943,82949) = 6880038907

Least Common Multiple (LCM) of 82943 and 82949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82943 and 82949. First we will calculate the prime factors of 82943 and 82949.

Prime Factorization of 82943

Prime Factorization of 82949

Now multiplying the highest exponent prime factors to calculate the LCM of 82943 and 82949.

LCM(82943,82949) = 7¹ × 17² × 41¹ × 109¹ × 761¹
LCM(82943,82949) = 6880038907