What is the Least Common Multiple of 56306 and 56321?

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 56306 and 56321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56306 and 56321, than apply into the LCM equation.

GCF(56306,56321) = 1
LCM(56306,56321) = ( 56306 × 56321) / 1
LCM(56306,56321) = 3171210226 / 1
LCM(56306,56321) = 3171210226

Least Common Multiple (LCM) of 56306 and 56321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56306 and 56321. First we will calculate the prime factors of 56306 and 56321.

Prime Factorization of 56306

Prime Factorization of 56321

Now multiplying the highest exponent prime factors to calculate the LCM of 56306 and 56321.

LCM(56306,56321) = 2¹ × 47¹ × 599¹ × 17¹ × 3313¹
LCM(56306,56321) = 3171210226