Least Common Multiple of 3680 and 3682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3680 and 3682 the smallest integer that is 6774880 that is divisible by both numbers.

Least Common Multiple (LCM) of 3680 and 3682 is 6774880.

LCM(3680,3682) = 6774880

LCM of 3680 and 3682

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

LCM of:
and

Least Common Multiple of 3680 and 3682

LCM of 3680 and 3682 is 6774880

Least common multiple can be found by multiplying the highest exponent prime factors of 3680 and 3682. First we will calculate the prime factors of 3680 and 3682.

Prime Factorization of 3680


2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 3680 are 2, 5,23. Prime factorization of 3680 in exponential form is:

3680 = 25×51×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3680 and 3682.

LCM(3680,3682) = 25×51×71×231×2631
LCM(3680,3682) = 6774880

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680

Factors of 3682

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

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

Least Common Multiple of 3680 and 3682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3680 and 3682, than apply into the LCM equation.

GCF(3680,3682) = 2
LCM(3680,3682) = ( 3680 × 3682) / 2
LCM(3680,3682) = 13549760 / 2
LCM(3680,3682) = 6774880

Properties of LCM 3680 and 3682

(i) The LCM of 3682 and 3680 is associative

LCM of 3680 and 3682 = LCM of 3682 and 3680

Related Least Common Multiples of 3680

Related Least Common Multiples of 3682

Frequently Asked Questions on LCM of 3680 and 3682

1. What is the LCM of 3680 and 3682?

Answer: LCM of 3680 and 3682 is 6774880.

2. What are the Factors of 3680?

Answer: Factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680. There are 24 integers that are factors of 3680. The greatest factor of 3680 is 3680.

3. 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.

4. How to Find the LCM of 3680 and 3682?

Answer:

Least Common Multiple of 3680 and 3682 = 6774880

Step 1: Find the prime factorization of 3680

3680 = 2 x 2 x 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 3682

3682 = 2 x 7 x 263

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

LCM = 6774880 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 23 x 263

Step 4: Therefore, the least common multiple of 3680 and 3682 is 6774880.