What is the Least Common Multiple of 82287 and 82303?

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 82287 and 82303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82287 and 82303, than apply into the LCM equation.

GCF(82287,82303) = 1
LCM(82287,82303) = ( 82287 × 82303) / 1
LCM(82287,82303) = 6772466961 / 1
LCM(82287,82303) = 6772466961

Least Common Multiple (LCM) of 82287 and 82303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82287 and 82303. First we will calculate the prime factors of 82287 and 82303.

Prime Factorization of 82287

Prime Factorization of 82303

Now multiplying the highest exponent prime factors to calculate the LCM of 82287 and 82303.

LCM(82287,82303) = 3² × 41¹ × 223¹ × 13² × 487¹
LCM(82287,82303) = 6772466961