What is the Least Common Multiple of 10322 and 10333?

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 10322 and 10333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10322 and 10333, than apply into the LCM equation.

GCF(10322,10333) = 1
LCM(10322,10333) = ( 10322 × 10333) / 1
LCM(10322,10333) = 106657226 / 1
LCM(10322,10333) = 106657226

Least Common Multiple (LCM) of 10322 and 10333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10322 and 10333. First we will calculate the prime factors of 10322 and 10333.

Prime Factorization of 10322

Prime Factorization of 10333

Now multiplying the highest exponent prime factors to calculate the LCM of 10322 and 10333.

LCM(10322,10333) = 2¹ × 13¹ × 397¹ × 10333¹
LCM(10322,10333) = 106657226