GCF and LCM Calculator Logo

What is the Least Common Multiple of 29369 and 29383?

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 29369 and 29383 is 862949327.

LCM(29369,29383) = 862949327

LCM Calculator and
and

Least Common Multiple of 29369 and 29383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29369 and 29383, than apply into the LCM equation.

GCF(29369,29383) = 1
LCM(29369,29383) = ( 29369 × 29383) / 1
LCM(29369,29383) = 862949327 / 1
LCM(29369,29383) = 862949327

Least Common Multiple (LCM) of 29369 and 29383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29369 and 29383. First we will calculate the prime factors of 29369 and 29383.

Prime Factorization of 29369

Prime factors of 29369 are 43, 683. Prime factorization of 29369 in exponential form is:

29369 = 431 × 6831

Prime Factorization of 29383

Prime factors of 29383 are 29383. Prime factorization of 29383 in exponential form is:

29383 = 293831

Now multiplying the highest exponent prime factors to calculate the LCM of 29369 and 29383.

LCM(29369,29383) = 431 × 6831 × 293831
LCM(29369,29383) = 862949327