Least Common Multiple of 3826 and 3833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3826 and 3833 the smallest integer that is 14665058 that is divisible by both numbers.

Least Common Multiple (LCM) of 3826 and 3833 is 14665058.

LCM(3826,3833) = 14665058

LCM of 3826 and 3833

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3826 and 3833

LCM of 3826 and 3833 is 14665058

Least common multiple can be found by multiplying the highest exponent prime factors of 3826 and 3833. First we will calculate the prime factors of 3826 and 3833.

Prime Factorization of 3826


2 3826
1913 1913
1

Prime factors of 3826 are 2,1913. Prime factorization of 3826 in exponential form is:

3826 = 21×19131

Prime Factorization of 3833


3833 3833
1

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 3826 and 3833.

LCM(3826,3833) = 21×19131×38331
LCM(3826,3833) = 14665058

Factors of 3826

List of positive integer factors of 3826 that divides 3826 without a remainder.

1, 2, 1913, 3826

Factors of 3833

List of positive integer factors of 3833 that divides 3833 without a remainder.

1, 3833

Least Common Multiple of 3826 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 3826 and 3833, than apply into the LCM equation.

GCF(3826,3833) = 1
LCM(3826,3833) = ( 3826 × 3833) / 1
LCM(3826,3833) = 14665058 / 1
LCM(3826,3833) = 14665058

Properties of LCM 3826 and 3833

(i) The LCM of 3833 and 3826 is associative

LCM of 3826 and 3833 = LCM of 3833 and 3826

Related Least Common Multiples of 3826

Related Least Common Multiples of 3833

Frequently Asked Questions on LCM of 3826 and 3833

1. What is the LCM of 3826 and 3833?

Answer: LCM of 3826 and 3833 is 14665058.

2. What are the Factors of 3826?

Answer: Factors of 3826 are 1, 2, 1913, 3826. There are 4 integers that are factors of 3826. The greatest factor of 3826 is 3826.

3. What are the Factors of 3833?

Answer: Factors of 3833 are 1, 3833. There are 2 integers that are factors of 3833. The greatest factor of 3833 is 3833.

4. How to Find the LCM of 3826 and 3833?

Answer:

Least Common Multiple of 3826 and 3833 = 14665058

Step 1: Find the prime factorization of 3826

3826 = 2 x 1913

Step 2: Find the prime factorization of 3833

3833 = 3833

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 14665058 = 2 x 1913 x 3833

Step 4: Therefore, the least common multiple of 3826 and 3833 is 14665058.