GCF and LCM Calculator Logo

What is the Least Common Multiple of 29422 and 29433?

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 29422 and 29433 is 865977726.

LCM(29422,29433) = 865977726

LCM Calculator and
and

Least Common Multiple of 29422 and 29433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29422 and 29433, than apply into the LCM equation.

GCF(29422,29433) = 1
LCM(29422,29433) = ( 29422 × 29433) / 1
LCM(29422,29433) = 865977726 / 1
LCM(29422,29433) = 865977726

Least Common Multiple (LCM) of 29422 and 29433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29422 and 29433. First we will calculate the prime factors of 29422 and 29433.

Prime Factorization of 29422

Prime factors of 29422 are 2, 47, 313. Prime factorization of 29422 in exponential form is:

29422 = 21 × 471 × 3131

Prime Factorization of 29433

Prime factors of 29433 are 3, 9811. Prime factorization of 29433 in exponential form is:

29433 = 31 × 98111

Now multiplying the highest exponent prime factors to calculate the LCM of 29422 and 29433.

LCM(29422,29433) = 21 × 471 × 3131 × 31 × 98111
LCM(29422,29433) = 865977726