GCF and LCM Calculator Logo

What is the Least Common Multiple of 29882 and 29901?

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 29882 and 29901 is 893501682.

LCM(29882,29901) = 893501682

LCM Calculator and
and

Least Common Multiple of 29882 and 29901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29882 and 29901, than apply into the LCM equation.

GCF(29882,29901) = 1
LCM(29882,29901) = ( 29882 × 29901) / 1
LCM(29882,29901) = 893501682 / 1
LCM(29882,29901) = 893501682

Least Common Multiple (LCM) of 29882 and 29901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29882 and 29901. First we will calculate the prime factors of 29882 and 29901.

Prime Factorization of 29882

Prime factors of 29882 are 2, 67, 223. Prime factorization of 29882 in exponential form is:

29882 = 21 × 671 × 2231

Prime Factorization of 29901

Prime factors of 29901 are 3, 9967. Prime factorization of 29901 in exponential form is:

29901 = 31 × 99671

Now multiplying the highest exponent prime factors to calculate the LCM of 29882 and 29901.

LCM(29882,29901) = 21 × 671 × 2231 × 31 × 99671
LCM(29882,29901) = 893501682