Least Common Multiple of 3678 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 3678 and 3682 the smallest integer that is 6771198 that is divisible by both numbers.

Least Common Multiple (LCM) of 3678 and 3682 is 6771198.

LCM(3678,3682) = 6771198

LCM of 3678 and 3682

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

LCM of:
and

Least Common Multiple of 3678 and 3682

LCM of 3678 and 3682 is 6771198

Least common multiple can be found by multiplying the highest exponent prime factors of 3678 and 3682. First we will calculate the prime factors of 3678 and 3682.

Prime Factorization of 3678


2 3678
3 1839
613 613
1

Prime factors of 3678 are 2, 3,613. Prime factorization of 3678 in exponential form is:

3678 = 21×31×6131

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 3678 and 3682.

LCM(3678,3682) = 21×31×71×2631×6131
LCM(3678,3682) = 6771198

Factors of 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1, 2, 3, 6, 613, 1226, 1839, 3678

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 3678 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 3678 and 3682, than apply into the LCM equation.

GCF(3678,3682) = 2
LCM(3678,3682) = ( 3678 × 3682) / 2
LCM(3678,3682) = 13542396 / 2
LCM(3678,3682) = 6771198

Properties of LCM 3678 and 3682

(i) The LCM of 3682 and 3678 is associative

LCM of 3678 and 3682 = LCM of 3682 and 3678

Related Least Common Multiples of 3678

Related Least Common Multiples of 3682

Frequently Asked Questions on LCM of 3678 and 3682

1. What is the LCM of 3678 and 3682?

Answer: LCM of 3678 and 3682 is 6771198.

2. What are the Factors of 3678?

Answer: Factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678. There are 8 integers that are factors of 3678. The greatest factor of 3678 is 3678.

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 3678 and 3682?

Answer:

Least Common Multiple of 3678 and 3682 = 6771198

Step 1: Find the prime factorization of 3678

3678 = 2 x 3 x 613

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 = 6771198 = 2 x 3 x 7 x 263 x 613

Step 4: Therefore, the least common multiple of 3678 and 3682 is 6771198.