Least Common Multiple of 8678 and 8683

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 8683 the smallest integer that is 75351074 that is divisible by both numbers.

Least Common Multiple (LCM) of 8678 and 8683 is 75351074.

LCM(8678,8683) = 75351074

LCM of 8678 and 8683

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

LCM of:
and

Least Common Multiple of 8678 and 8683

LCM of 8678 and 8683 is 75351074

Least common multiple can be found by multiplying the highest exponent prime factors of 8678 and 8683. First we will calculate the prime factors of 8678 and 8683.

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 8683


19 8683
457 457
1

Prime factors of 8683 are 19,457. Prime factorization of 8683 in exponential form is:

8683 = 191×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 8678 and 8683.

LCM(8678,8683) = 21×191×4571×43391
LCM(8678,8683) = 75351074

Factors of 8678

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

1, 2, 4339, 8678

Factors of 8683

List of positive integer factors of 8683 that divides 8683 without a remainder.

1, 19, 457, 8683

Least Common Multiple of 8678 and 8683 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 8683, than apply into the LCM equation.

GCF(8678,8683) = 1
LCM(8678,8683) = ( 8678 × 8683) / 1
LCM(8678,8683) = 75351074 / 1
LCM(8678,8683) = 75351074

Properties of LCM 8678 and 8683

(i) The LCM of 8683 and 8678 is associative

LCM of 8678 and 8683 = LCM of 8683 and 8678

Related Least Common Multiples of 8678

Related Least Common Multiples of 8683

Frequently Asked Questions on LCM of 8678 and 8683

1. What is the LCM of 8678 and 8683?

Answer: LCM of 8678 and 8683 is 75351074.

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 8683?

Answer: Factors of 8683 are 1, 19, 457, 8683. There are 4 integers that are factors of 8683. The greatest factor of 8683 is 8683.

4. How to Find the LCM of 8678 and 8683?

Answer:

Least Common Multiple of 8678 and 8683 = 75351074

Step 1: Find the prime factorization of 8678

8678 = 2 x 4339

Step 2: Find the prime factorization of 8683

8683 = 19 x 457

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

LCM = 75351074 = 2 x 19 x 457 x 4339

Step 4: Therefore, the least common multiple of 8678 and 8683 is 75351074.