Least Common Multiple of 3804 and 3812

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 3812 the smallest integer that is 3625212 that is divisible by both numbers.

Least Common Multiple (LCM) of 3804 and 3812 is 3625212.

LCM(3804,3812) = 3625212

LCM of 3804 and 3812

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

LCM of:
and

Least Common Multiple of 3804 and 3812

LCM of 3804 and 3812 is 3625212

Least common multiple can be found by multiplying the highest exponent prime factors of 3804 and 3812. First we will calculate the prime factors of 3804 and 3812.

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 3812


2 3812
2 1906
953 953
1

Prime factors of 3812 are 2,953. Prime factorization of 3812 in exponential form is:

3812 = 22×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 3804 and 3812.

LCM(3804,3812) = 22×31×3171×9531
LCM(3804,3812) = 3625212

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 3812

List of positive integer factors of 3812 that divides 3812 without a remainder.

1, 2, 4, 953, 1906, 3812

Least Common Multiple of 3804 and 3812 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 3812, than apply into the LCM equation.

GCF(3804,3812) = 4
LCM(3804,3812) = ( 3804 × 3812) / 4
LCM(3804,3812) = 14500848 / 4
LCM(3804,3812) = 3625212

Properties of LCM 3804 and 3812

(i) The LCM of 3812 and 3804 is associative

LCM of 3804 and 3812 = LCM of 3812 and 3804

Related Least Common Multiples of 3804

Related Least Common Multiples of 3812

Frequently Asked Questions on LCM of 3804 and 3812

1. What is the LCM of 3804 and 3812?

Answer: LCM of 3804 and 3812 is 3625212.

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 3812?

Answer: Factors of 3812 are 1, 2, 4, 953, 1906, 3812. There are 6 integers that are factors of 3812. The greatest factor of 3812 is 3812.

4. How to Find the LCM of 3804 and 3812?

Answer:

Least Common Multiple of 3804 and 3812 = 3625212

Step 1: Find the prime factorization of 3804

3804 = 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 3812

3812 = 2 x 2 x 953

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

LCM = 3625212 = 2 x 2 x 3 x 317 x 953

Step 4: Therefore, the least common multiple of 3804 and 3812 is 3625212.