What is the Least Common Multiple of 82303 and 82312?

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 82303 and 82312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82303 and 82312, than apply into the LCM equation.

GCF(82303,82312) = 1
LCM(82303,82312) = ( 82303 × 82312) / 1
LCM(82303,82312) = 6774524536 / 1
LCM(82303,82312) = 6774524536

Least Common Multiple (LCM) of 82303 and 82312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82303 and 82312. First we will calculate the prime factors of 82303 and 82312.

Prime Factorization of 82303

Prime Factorization of 82312

Now multiplying the highest exponent prime factors to calculate the LCM of 82303 and 82312.

LCM(82303,82312) = 13² × 487¹ × 2³ × 10289¹
LCM(82303,82312) = 6774524536