What is the Least Common Multiple of 56306 and 56326?

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 56326 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 56326, than apply into the LCM equation.

GCF(56306,56326) = 2
LCM(56306,56326) = ( 56306 × 56326) / 2
LCM(56306,56326) = 3171491756 / 2
LCM(56306,56326) = 1585745878

Least Common Multiple (LCM) of 56306 and 56326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56306 and 56326. First we will calculate the prime factors of 56306 and 56326.

Prime Factorization of 56306

Prime Factorization of 56326

Now multiplying the highest exponent prime factors to calculate the LCM of 56306 and 56326.

LCM(56306,56326) = 2¹ × 47¹ × 599¹ × 28163¹
LCM(56306,56326) = 1585745878