Least Common Multiple of 8678 and 8686

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 8686 the smallest integer that is 37688554 that is divisible by both numbers.

Least Common Multiple (LCM) of 8678 and 8686 is 37688554.

LCM(8678,8686) = 37688554

LCM of 8678 and 8686

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

LCM of:
and

Least Common Multiple of 8678 and 8686

LCM of 8678 and 8686 is 37688554

Least common multiple can be found by multiplying the highest exponent prime factors of 8678 and 8686. First we will calculate the prime factors of 8678 and 8686.

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 8686


2 8686
43 4343
101 101
1

Prime factors of 8686 are 2, 43,101. Prime factorization of 8686 in exponential form is:

8686 = 21×431×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8678 and 8686.

LCM(8678,8686) = 21×431×1011×43391
LCM(8678,8686) = 37688554

Factors of 8678

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

1, 2, 4339, 8678

Factors of 8686

List of positive integer factors of 8686 that divides 8686 without a remainder.

1, 2, 43, 86, 101, 202, 4343, 8686

Least Common Multiple of 8678 and 8686 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 8686, than apply into the LCM equation.

GCF(8678,8686) = 2
LCM(8678,8686) = ( 8678 × 8686) / 2
LCM(8678,8686) = 75377108 / 2
LCM(8678,8686) = 37688554

Properties of LCM 8678 and 8686

(i) The LCM of 8686 and 8678 is associative

LCM of 8678 and 8686 = LCM of 8686 and 8678

Related Least Common Multiples of 8678

Related Least Common Multiples of 8686

Frequently Asked Questions on LCM of 8678 and 8686

1. What is the LCM of 8678 and 8686?

Answer: LCM of 8678 and 8686 is 37688554.

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 8686?

Answer: Factors of 8686 are 1, 2, 43, 86, 101, 202, 4343, 8686. There are 8 integers that are factors of 8686. The greatest factor of 8686 is 8686.

4. How to Find the LCM of 8678 and 8686?

Answer:

Least Common Multiple of 8678 and 8686 = 37688554

Step 1: Find the prime factorization of 8678

8678 = 2 x 4339

Step 2: Find the prime factorization of 8686

8686 = 2 x 43 x 101

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

LCM = 37688554 = 2 x 43 x 101 x 4339

Step 4: Therefore, the least common multiple of 8678 and 8686 is 37688554.