Least Common Multiple of 3826 and 3830

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 3830 the smallest integer that is 7326790 that is divisible by both numbers.

Least Common Multiple (LCM) of 3826 and 3830 is 7326790.

LCM(3826,3830) = 7326790

LCM of 3826 and 3830

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

LCM of:
and

Least Common Multiple of 3826 and 3830

LCM of 3826 and 3830 is 7326790

Least common multiple can be found by multiplying the highest exponent prime factors of 3826 and 3830. First we will calculate the prime factors of 3826 and 3830.

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 3830


2 3830
5 1915
383 383
1

Prime factors of 3830 are 2, 5,383. Prime factorization of 3830 in exponential form is:

3830 = 21×51×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 3826 and 3830.

LCM(3826,3830) = 21×51×3831×19131
LCM(3826,3830) = 7326790

Factors of 3826

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

1, 2, 1913, 3826

Factors of 3830

List of positive integer factors of 3830 that divides 3830 without a remainder.

1, 2, 5, 10, 383, 766, 1915, 3830

Least Common Multiple of 3826 and 3830 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 3830, than apply into the LCM equation.

GCF(3826,3830) = 2
LCM(3826,3830) = ( 3826 × 3830) / 2
LCM(3826,3830) = 14653580 / 2
LCM(3826,3830) = 7326790

Properties of LCM 3826 and 3830

(i) The LCM of 3830 and 3826 is associative

LCM of 3826 and 3830 = LCM of 3830 and 3826

Related Least Common Multiples of 3826

Related Least Common Multiples of 3830

Frequently Asked Questions on LCM of 3826 and 3830

1. What is the LCM of 3826 and 3830?

Answer: LCM of 3826 and 3830 is 7326790.

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 3830?

Answer: Factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830. There are 8 integers that are factors of 3830. The greatest factor of 3830 is 3830.

4. How to Find the LCM of 3826 and 3830?

Answer:

Least Common Multiple of 3826 and 3830 = 7326790

Step 1: Find the prime factorization of 3826

3826 = 2 x 1913

Step 2: Find the prime factorization of 3830

3830 = 2 x 5 x 383

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

LCM = 7326790 = 2 x 5 x 383 x 1913

Step 4: Therefore, the least common multiple of 3826 and 3830 is 7326790.