What is the Least Common Multiple of 82278 and 82297?

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 82278 and 82297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82278 and 82297, than apply into the LCM equation.

GCF(82278,82297) = 1
LCM(82278,82297) = ( 82278 × 82297) / 1
LCM(82278,82297) = 6771232566 / 1
LCM(82278,82297) = 6771232566

Least Common Multiple (LCM) of 82278 and 82297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82278 and 82297. First we will calculate the prime factors of 82278 and 82297.

Prime Factorization of 82278

Prime Factorization of 82297

Now multiplying the highest exponent prime factors to calculate the LCM of 82278 and 82297.

LCM(82278,82297) = 2¹ × 3² × 7¹ × 653¹ × 17¹ × 47¹ × 103¹
LCM(82278,82297) = 6771232566