Least Common Multiple of 3826 and 3834

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 3834 the smallest integer that is 7334442 that is divisible by both numbers.

Least Common Multiple (LCM) of 3826 and 3834 is 7334442.

LCM(3826,3834) = 7334442

LCM of 3826 and 3834

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

LCM of:
and

Least Common Multiple of 3826 and 3834

LCM of 3826 and 3834 is 7334442

Least common multiple can be found by multiplying the highest exponent prime factors of 3826 and 3834. First we will calculate the prime factors of 3826 and 3834.

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 3834


2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 3834 are 2, 3,71. Prime factorization of 3834 in exponential form is:

3834 = 21×33×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3826 and 3834.

LCM(3826,3834) = 21×33×711×19131
LCM(3826,3834) = 7334442

Factors of 3826

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

1, 2, 1913, 3826

Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834

Least Common Multiple of 3826 and 3834 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 3834, than apply into the LCM equation.

GCF(3826,3834) = 2
LCM(3826,3834) = ( 3826 × 3834) / 2
LCM(3826,3834) = 14668884 / 2
LCM(3826,3834) = 7334442

Properties of LCM 3826 and 3834

(i) The LCM of 3834 and 3826 is associative

LCM of 3826 and 3834 = LCM of 3834 and 3826

Related Least Common Multiples of 3826

Related Least Common Multiples of 3834

Frequently Asked Questions on LCM of 3826 and 3834

1. What is the LCM of 3826 and 3834?

Answer: LCM of 3826 and 3834 is 7334442.

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 3834?

Answer: Factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834. There are 16 integers that are factors of 3834. The greatest factor of 3834 is 3834.

4. How to Find the LCM of 3826 and 3834?

Answer:

Least Common Multiple of 3826 and 3834 = 7334442

Step 1: Find the prime factorization of 3826

3826 = 2 x 1913

Step 2: Find the prime factorization of 3834

3834 = 2 x 3 x 3 x 3 x 71

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

LCM = 7334442 = 2 x 3 x 3 x 3 x 71 x 1913

Step 4: Therefore, the least common multiple of 3826 and 3834 is 7334442.