What is the Least Common Multiple of 56321 and 56334?

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 56321 and 56334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56321 and 56334, than apply into the LCM equation.

GCF(56321,56334) = 1
LCM(56321,56334) = ( 56321 × 56334) / 1
LCM(56321,56334) = 3172787214 / 1
LCM(56321,56334) = 3172787214

Least Common Multiple (LCM) of 56321 and 56334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56321 and 56334. First we will calculate the prime factors of 56321 and 56334.

Prime Factorization of 56321

Prime Factorization of 56334

Now multiplying the highest exponent prime factors to calculate the LCM of 56321 and 56334.

LCM(56321,56334) = 17¹ × 3313¹ × 2¹ × 3¹ × 41¹ × 229¹
LCM(56321,56334) = 3172787214