GCF and LCM Calculator Logo

What is the Least Common Multiple of 10316 and 10322?

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 (LCM) of 10316 and 10322 is 53240876.

LCM(10316,10322) = 53240876

LCM Calculator and
and

Least Common Multiple of 10316 and 10322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10316 and 10322, than apply into the LCM equation.

GCF(10316,10322) = 2
LCM(10316,10322) = ( 10316 × 10322) / 2
LCM(10316,10322) = 106481752 / 2
LCM(10316,10322) = 53240876

Least Common Multiple (LCM) of 10316 and 10322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10316 and 10322. First we will calculate the prime factors of 10316 and 10322.

Prime Factorization of 10316

Prime factors of 10316 are 2, 2579. Prime factorization of 10316 in exponential form is:

10316 = 22 × 25791

Prime Factorization of 10322

Prime factors of 10322 are 2, 13, 397. Prime factorization of 10322 in exponential form is:

10322 = 21 × 131 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 10316 and 10322.

LCM(10316,10322) = 22 × 25791 × 131 × 3971
LCM(10316,10322) = 53240876