Least Common Multiple of 8678 and 8684

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 8684 the smallest integer that is 37679876 that is divisible by both numbers.

Least Common Multiple (LCM) of 8678 and 8684 is 37679876.

LCM(8678,8684) = 37679876

LCM of 8678 and 8684

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

LCM of:
and

Least Common Multiple of 8678 and 8684

LCM of 8678 and 8684 is 37679876

Least common multiple can be found by multiplying the highest exponent prime factors of 8678 and 8684. First we will calculate the prime factors of 8678 and 8684.

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 8684


2 8684
2 4342
13 2171
167 167
1

Prime factors of 8684 are 2, 13,167. Prime factorization of 8684 in exponential form is:

8684 = 22×131×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8678 and 8684.

LCM(8678,8684) = 22×131×1671×43391
LCM(8678,8684) = 37679876

Factors of 8678

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

1, 2, 4339, 8678

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684

Least Common Multiple of 8678 and 8684 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 8684, than apply into the LCM equation.

GCF(8678,8684) = 2
LCM(8678,8684) = ( 8678 × 8684) / 2
LCM(8678,8684) = 75359752 / 2
LCM(8678,8684) = 37679876

Properties of LCM 8678 and 8684

(i) The LCM of 8684 and 8678 is associative

LCM of 8678 and 8684 = LCM of 8684 and 8678

Related Least Common Multiples of 8678

Related Least Common Multiples of 8684

Frequently Asked Questions on LCM of 8678 and 8684

1. What is the LCM of 8678 and 8684?

Answer: LCM of 8678 and 8684 is 37679876.

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 8684?

Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.

4. How to Find the LCM of 8678 and 8684?

Answer:

Least Common Multiple of 8678 and 8684 = 37679876

Step 1: Find the prime factorization of 8678

8678 = 2 x 4339

Step 2: Find the prime factorization of 8684

8684 = 2 x 2 x 13 x 167

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

LCM = 37679876 = 2 x 2 x 13 x 167 x 4339

Step 4: Therefore, the least common multiple of 8678 and 8684 is 37679876.