Least Common Multiple of 3804 and 3810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3804 and 3810 the smallest integer that is 2415540 that is divisible by both numbers.

Least Common Multiple (LCM) of 3804 and 3810 is 2415540.

LCM(3804,3810) = 2415540

LCM of 3804 and 3810

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

LCM of:
and

Least Common Multiple of 3804 and 3810

LCM of 3804 and 3810 is 2415540

Least common multiple can be found by multiplying the highest exponent prime factors of 3804 and 3810. First we will calculate the prime factors of 3804 and 3810.

Prime Factorization of 3804


2 3804
2 1902
3 951
317 317
1

Prime factors of 3804 are 2, 3,317. Prime factorization of 3804 in exponential form is:

3804 = 22×31×3171

Prime Factorization of 3810


2 3810
3 1905
5 635
127 127
1

Prime factors of 3810 are 2, 3, 5,127. Prime factorization of 3810 in exponential form is:

3810 = 21×31×51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3804 and 3810.

LCM(3804,3810) = 22×31×51×1271×3171
LCM(3804,3810) = 2415540

Factors of 3804

List of positive integer factors of 3804 that divides 3804 without a remainder.

1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810

Least Common Multiple of 3804 and 3810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3804 and 3810, than apply into the LCM equation.

GCF(3804,3810) = 6
LCM(3804,3810) = ( 3804 × 3810) / 6
LCM(3804,3810) = 14493240 / 6
LCM(3804,3810) = 2415540

Properties of LCM 3804 and 3810

(i) The LCM of 3810 and 3804 is associative

LCM of 3804 and 3810 = LCM of 3810 and 3804

Related Least Common Multiples of 3804

Related Least Common Multiples of 3810

Frequently Asked Questions on LCM of 3804 and 3810

1. What is the LCM of 3804 and 3810?

Answer: LCM of 3804 and 3810 is 2415540.

2. What are the Factors of 3804?

Answer: Factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804. There are 12 integers that are factors of 3804. The greatest factor of 3804 is 3804.

3. What are the Factors of 3810?

Answer: Factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810. There are 16 integers that are factors of 3810. The greatest factor of 3810 is 3810.

4. How to Find the LCM of 3804 and 3810?

Answer:

Least Common Multiple of 3804 and 3810 = 2415540

Step 1: Find the prime factorization of 3804

3804 = 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 3810

3810 = 2 x 3 x 5 x 127

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

LCM = 2415540 = 2 x 2 x 3 x 5 x 127 x 317

Step 4: Therefore, the least common multiple of 3804 and 3810 is 2415540.