GCF and LCM Calculator Logo

What is the Least Common Multiple of 29583 and 29598?

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 29583 and 29598 is 291865878.

LCM(29583,29598) = 291865878

LCM Calculator and
and

Least Common Multiple of 29583 and 29598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29583 and 29598, than apply into the LCM equation.

GCF(29583,29598) = 3
LCM(29583,29598) = ( 29583 × 29598) / 3
LCM(29583,29598) = 875597634 / 3
LCM(29583,29598) = 291865878

Least Common Multiple (LCM) of 29583 and 29598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29583 and 29598. First we will calculate the prime factors of 29583 and 29598.

Prime Factorization of 29583

Prime factors of 29583 are 3, 19, 173. Prime factorization of 29583 in exponential form is:

29583 = 32 × 191 × 1731

Prime Factorization of 29598

Prime factors of 29598 are 2, 3, 4933. Prime factorization of 29598 in exponential form is:

29598 = 21 × 31 × 49331

Now multiplying the highest exponent prime factors to calculate the LCM of 29583 and 29598.

LCM(29583,29598) = 32 × 191 × 1731 × 21 × 49331
LCM(29583,29598) = 291865878