GCF and LCM Calculator Logo

What is the Least Common Multiple of 22669 and 22682?

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 22669 and 22682 is 514178258.

LCM(22669,22682) = 514178258

LCM Calculator and
and

Least Common Multiple of 22669 and 22682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22669 and 22682, than apply into the LCM equation.

GCF(22669,22682) = 1
LCM(22669,22682) = ( 22669 × 22682) / 1
LCM(22669,22682) = 514178258 / 1
LCM(22669,22682) = 514178258

Least Common Multiple (LCM) of 22669 and 22682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22669 and 22682. First we will calculate the prime factors of 22669 and 22682.

Prime Factorization of 22669

Prime factors of 22669 are 22669. Prime factorization of 22669 in exponential form is:

22669 = 226691

Prime Factorization of 22682

Prime factors of 22682 are 2, 11, 1031. Prime factorization of 22682 in exponential form is:

22682 = 21 × 111 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 22669 and 22682.

LCM(22669,22682) = 226691 × 21 × 111 × 10311
LCM(22669,22682) = 514178258