GCF and LCM Calculator Logo

What is the Least Common Multiple of 29636 and 29643?

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 29636 and 29643 is 878499948.

LCM(29636,29643) = 878499948

LCM Calculator and
and

Least Common Multiple of 29636 and 29643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29636 and 29643, than apply into the LCM equation.

GCF(29636,29643) = 1
LCM(29636,29643) = ( 29636 × 29643) / 1
LCM(29636,29643) = 878499948 / 1
LCM(29636,29643) = 878499948

Least Common Multiple (LCM) of 29636 and 29643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29636 and 29643. First we will calculate the prime factors of 29636 and 29643.

Prime Factorization of 29636

Prime factors of 29636 are 2, 31, 239. Prime factorization of 29636 in exponential form is:

29636 = 22 × 311 × 2391

Prime Factorization of 29643

Prime factors of 29643 are 3, 41, 241. Prime factorization of 29643 in exponential form is:

29643 = 31 × 411 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 29636 and 29643.

LCM(29636,29643) = 22 × 311 × 2391 × 31 × 411 × 2411
LCM(29636,29643) = 878499948