Least Common Multiple of 3684 and 3690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3684 and 3690 the smallest integer that is 2265660 that is divisible by both numbers.

Least Common Multiple (LCM) of 3684 and 3690 is 2265660.

LCM(3684,3690) = 2265660

LCM of 3684 and 3690

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

LCM of:
and

Least Common Multiple of 3684 and 3690

LCM of 3684 and 3690 is 2265660

Least common multiple can be found by multiplying the highest exponent prime factors of 3684 and 3690. First we will calculate the prime factors of 3684 and 3690.

Prime Factorization of 3684


2 3684
2 1842
3 921
307 307
1

Prime factors of 3684 are 2, 3,307. Prime factorization of 3684 in exponential form is:

3684 = 22×31×3071

Prime Factorization of 3690


2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 3690 are 2, 3, 5,41. Prime factorization of 3690 in exponential form is:

3690 = 21×32×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3684 and 3690.

LCM(3684,3690) = 22×32×51×411×3071
LCM(3684,3690) = 2265660

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690

Least Common Multiple of 3684 and 3690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3684 and 3690, than apply into the LCM equation.

GCF(3684,3690) = 6
LCM(3684,3690) = ( 3684 × 3690) / 6
LCM(3684,3690) = 13593960 / 6
LCM(3684,3690) = 2265660

Properties of LCM 3684 and 3690

(i) The LCM of 3690 and 3684 is associative

LCM of 3684 and 3690 = LCM of 3690 and 3684

Related Least Common Multiples of 3684

Related Least Common Multiples of 3690

Frequently Asked Questions on LCM of 3684 and 3690

1. What is the LCM of 3684 and 3690?

Answer: LCM of 3684 and 3690 is 2265660.

2. What are the Factors of 3684?

Answer: Factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684. There are 12 integers that are factors of 3684. The greatest factor of 3684 is 3684.

3. What are the Factors of 3690?

Answer: Factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690. There are 24 integers that are factors of 3690. The greatest factor of 3690 is 3690.

4. How to Find the LCM of 3684 and 3690?

Answer:

Least Common Multiple of 3684 and 3690 = 2265660

Step 1: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

Step 2: Find the prime factorization of 3690

3690 = 2 x 3 x 3 x 5 x 41

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

LCM = 2265660 = 2 x 2 x 3 x 3 x 5 x 41 x 307

Step 4: Therefore, the least common multiple of 3684 and 3690 is 2265660.