GCF and LCM Calculator Logo

What is the Least Common Multiple of 29798 and 29811?

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 29798 and 29811 is 888308178.

LCM(29798,29811) = 888308178

LCM Calculator and
and

Least Common Multiple of 29798 and 29811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29798 and 29811, than apply into the LCM equation.

GCF(29798,29811) = 1
LCM(29798,29811) = ( 29798 × 29811) / 1
LCM(29798,29811) = 888308178 / 1
LCM(29798,29811) = 888308178

Least Common Multiple (LCM) of 29798 and 29811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29798 and 29811. First we will calculate the prime factors of 29798 and 29811.

Prime Factorization of 29798

Prime factors of 29798 are 2, 47, 317. Prime factorization of 29798 in exponential form is:

29798 = 21 × 471 × 3171

Prime Factorization of 29811

Prime factors of 29811 are 3, 19, 523. Prime factorization of 29811 in exponential form is:

29811 = 31 × 191 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 29798 and 29811.

LCM(29798,29811) = 21 × 471 × 3171 × 31 × 191 × 5231
LCM(29798,29811) = 888308178