Least Common Multiple of 3676 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 3676 and 3682 the smallest integer that is 6767516 that is divisible by both numbers.

Least Common Multiple (LCM) of 3676 and 3682 is 6767516.

LCM(3676,3682) = 6767516

LCM of 3676 and 3682

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

LCM of:
and

Least Common Multiple of 3676 and 3682

LCM of 3676 and 3682 is 6767516

Least common multiple can be found by multiplying the highest exponent prime factors of 3676 and 3682. First we will calculate the prime factors of 3676 and 3682.

Prime Factorization of 3676


2 3676
2 1838
919 919
1

Prime factors of 3676 are 2,919. Prime factorization of 3676 in exponential form is:

3676 = 22×9191

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 3676 and 3682.

LCM(3676,3682) = 22×71×2631×9191
LCM(3676,3682) = 6767516

Factors of 3676

List of positive integer factors of 3676 that divides 3676 without a remainder.

1, 2, 4, 919, 1838, 3676

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 3676 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 3676 and 3682, than apply into the LCM equation.

GCF(3676,3682) = 2
LCM(3676,3682) = ( 3676 × 3682) / 2
LCM(3676,3682) = 13535032 / 2
LCM(3676,3682) = 6767516

Properties of LCM 3676 and 3682

(i) The LCM of 3682 and 3676 is associative

LCM of 3676 and 3682 = LCM of 3682 and 3676

Related Least Common Multiples of 3676

Related Least Common Multiples of 3682

Frequently Asked Questions on LCM of 3676 and 3682

1. What is the LCM of 3676 and 3682?

Answer: LCM of 3676 and 3682 is 6767516.

2. What are the Factors of 3676?

Answer: Factors of 3676 are 1, 2, 4, 919, 1838, 3676. There are 6 integers that are factors of 3676. The greatest factor of 3676 is 3676.

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 3676 and 3682?

Answer:

Least Common Multiple of 3676 and 3682 = 6767516

Step 1: Find the prime factorization of 3676

3676 = 2 x 2 x 919

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 = 6767516 = 2 x 2 x 7 x 263 x 919

Step 4: Therefore, the least common multiple of 3676 and 3682 is 6767516.