GCF and LCM Calculator Logo

What is the Least Common Multiple of 3820 and 3833?

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 3820 and 3833 is 14642060.

LCM(3820,3833) = 14642060

LCM Calculator and
and

Least Common Multiple of 3820 and 3833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3820 and 3833, than apply into the LCM equation.

GCF(3820,3833) = 1
LCM(3820,3833) = ( 3820 × 3833) / 1
LCM(3820,3833) = 14642060 / 1
LCM(3820,3833) = 14642060

Least Common Multiple (LCM) of 3820 and 3833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3820 and 3833. First we will calculate the prime factors of 3820 and 3833.

Prime Factorization of 3820

Prime factors of 3820 are 2, 5, 191. Prime factorization of 3820 in exponential form is:

3820 = 22 × 51 × 1911

Prime Factorization of 3833

Prime factors of 3833 are 3833. Prime factorization of 3833 in exponential form is:

3833 = 38331

Now multiplying the highest exponent prime factors to calculate the LCM of 3820 and 3833.

LCM(3820,3833) = 22 × 51 × 1911 × 38331
LCM(3820,3833) = 14642060