GCF and LCM Calculator Logo

What is the Least Common Multiple of 29847 and 29863?

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 29847 and 29863 is 891320961.

LCM(29847,29863) = 891320961

LCM Calculator and
and

Least Common Multiple of 29847 and 29863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29847 and 29863, than apply into the LCM equation.

GCF(29847,29863) = 1
LCM(29847,29863) = ( 29847 × 29863) / 1
LCM(29847,29863) = 891320961 / 1
LCM(29847,29863) = 891320961

Least Common Multiple (LCM) of 29847 and 29863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29847 and 29863. First we will calculate the prime factors of 29847 and 29863.

Prime Factorization of 29847

Prime factors of 29847 are 3, 9949. Prime factorization of 29847 in exponential form is:

29847 = 31 × 99491

Prime Factorization of 29863

Prime factors of 29863 are 29863. Prime factorization of 29863 in exponential form is:

29863 = 298631

Now multiplying the highest exponent prime factors to calculate the LCM of 29847 and 29863.

LCM(29847,29863) = 31 × 99491 × 298631
LCM(29847,29863) = 891320961