Least Common Multiple of 3682 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 3682 and 3690 the smallest integer that is 6793290 that is divisible by both numbers.

Least Common Multiple (LCM) of 3682 and 3690 is 6793290.

LCM(3682,3690) = 6793290

LCM of 3682 and 3690

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

LCM of:
and

Least Common Multiple of 3682 and 3690

LCM of 3682 and 3690 is 6793290

Least common multiple can be found by multiplying the highest exponent prime factors of 3682 and 3690. First we will calculate the prime factors of 3682 and 3690.

Prime Factorization of 3682


2 3682
7 1841
263 263
1

Prime factors of 3682 are 2, 7,263. Prime factorization of 3682 in exponential form is:

3682 = 21×71×2631

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 3682 and 3690.

LCM(3682,3690) = 21×32×51×71×411×2631
LCM(3682,3690) = 6793290

Factors of 3682

List of positive integer factors of 3682 that divides 3682 without a remainder.

1, 2, 7, 14, 263, 526, 1841, 3682

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 3682 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 3682 and 3690, than apply into the LCM equation.

GCF(3682,3690) = 2
LCM(3682,3690) = ( 3682 × 3690) / 2
LCM(3682,3690) = 13586580 / 2
LCM(3682,3690) = 6793290

Properties of LCM 3682 and 3690

(i) The LCM of 3690 and 3682 is associative

LCM of 3682 and 3690 = LCM of 3690 and 3682

Related Least Common Multiples of 3682

Related Least Common Multiples of 3690

Frequently Asked Questions on LCM of 3682 and 3690

1. What is the LCM of 3682 and 3690?

Answer: LCM of 3682 and 3690 is 6793290.

2. What are the Factors of 3682?

Answer: Factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682. There are 8 integers that are factors of 3682. The greatest factor of 3682 is 3682.

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 3682 and 3690?

Answer:

Least Common Multiple of 3682 and 3690 = 6793290

Step 1: Find the prime factorization of 3682

3682 = 2 x 7 x 263

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 = 6793290 = 2 x 3 x 3 x 5 x 7 x 41 x 263

Step 4: Therefore, the least common multiple of 3682 and 3690 is 6793290.