Least Common Multiple of 8678 and 8682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8678 and 8682 the smallest integer that is 37671198 that is divisible by both numbers.

Least Common Multiple (LCM) of 8678 and 8682 is 37671198.

LCM(8678,8682) = 37671198

LCM of 8678 and 8682

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

LCM of:
and

Least Common Multiple of 8678 and 8682

LCM of 8678 and 8682 is 37671198

Least common multiple can be found by multiplying the highest exponent prime factors of 8678 and 8682. First we will calculate the prime factors of 8678 and 8682.

Prime Factorization of 8678


2 8678
4339 4339
1

Prime factors of 8678 are 2,4339. Prime factorization of 8678 in exponential form is:

8678 = 21×43391

Prime Factorization of 8682


2 8682
3 4341
1447 1447
1

Prime factors of 8682 are 2, 3,1447. Prime factorization of 8682 in exponential form is:

8682 = 21×31×14471

Now multiplying the highest exponent prime factors to calculate the LCM of 8678 and 8682.

LCM(8678,8682) = 21×31×14471×43391
LCM(8678,8682) = 37671198

Factors of 8678

List of positive integer factors of 8678 that divides 8678 without a remainder.

1, 2, 4339, 8678

Factors of 8682

List of positive integer factors of 8682 that divides 8682 without a remainder.

1, 2, 3, 6, 1447, 2894, 4341, 8682

Least Common Multiple of 8678 and 8682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8678 and 8682, than apply into the LCM equation.

GCF(8678,8682) = 2
LCM(8678,8682) = ( 8678 × 8682) / 2
LCM(8678,8682) = 75342396 / 2
LCM(8678,8682) = 37671198

Properties of LCM 8678 and 8682

(i) The LCM of 8682 and 8678 is associative

LCM of 8678 and 8682 = LCM of 8682 and 8678

Related Least Common Multiples of 8678

Related Least Common Multiples of 8682

Frequently Asked Questions on LCM of 8678 and 8682

1. What is the LCM of 8678 and 8682?

Answer: LCM of 8678 and 8682 is 37671198.

2. What are the Factors of 8678?

Answer: Factors of 8678 are 1, 2, 4339, 8678. There are 4 integers that are factors of 8678. The greatest factor of 8678 is 8678.

3. What are the Factors of 8682?

Answer: Factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682. There are 8 integers that are factors of 8682. The greatest factor of 8682 is 8682.

4. How to Find the LCM of 8678 and 8682?

Answer:

Least Common Multiple of 8678 and 8682 = 37671198

Step 1: Find the prime factorization of 8678

8678 = 2 x 4339

Step 2: Find the prime factorization of 8682

8682 = 2 x 3 x 1447

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

LCM = 37671198 = 2 x 3 x 1447 x 4339

Step 4: Therefore, the least common multiple of 8678 and 8682 is 37671198.