Least Common Multiple of 8677 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 8677 and 8683 the smallest integer that is 75342391 that is divisible by both numbers.

Least Common Multiple (LCM) of 8677 and 8683 is 75342391.

LCM(8677,8683) = 75342391

LCM of 8677 and 8683

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

LCM of:
and

Least Common Multiple of 8677 and 8683

LCM of 8677 and 8683 is 75342391

Least common multiple can be found by multiplying the highest exponent prime factors of 8677 and 8683. First we will calculate the prime factors of 8677 and 8683.

Prime Factorization of 8677


8677 8677
1

Prime factors of 8677 are 8677. Prime factorization of 8677 in exponential form is:

8677 = 86771

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 8677 and 8683.

LCM(8677,8683) = 191×4571×86771
LCM(8677,8683) = 75342391

Factors of 8677

List of positive integer factors of 8677 that divides 8677 without a remainder.

1, 8677

Factors of 8683

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

1, 19, 457, 8683

Least Common Multiple of 8677 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 8677 and 8683, than apply into the LCM equation.

GCF(8677,8683) = 1
LCM(8677,8683) = ( 8677 × 8683) / 1
LCM(8677,8683) = 75342391 / 1
LCM(8677,8683) = 75342391

Properties of LCM 8677 and 8683

(i) The LCM of 8683 and 8677 is associative

LCM of 8677 and 8683 = LCM of 8683 and 8677

Related Least Common Multiples of 8677

Related Least Common Multiples of 8683

Frequently Asked Questions on LCM of 8677 and 8683

1. What is the LCM of 8677 and 8683?

Answer: LCM of 8677 and 8683 is 75342391.

2. What are the Factors of 8677?

Answer: Factors of 8677 are 1, 8677. There are 2 integers that are factors of 8677. The greatest factor of 8677 is 8677.

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 8677 and 8683?

Answer:

Least Common Multiple of 8677 and 8683 = 75342391

Step 1: Find the prime factorization of 8677

8677 = 8677

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 = 75342391 = 19 x 457 x 8677

Step 4: Therefore, the least common multiple of 8677 and 8683 is 75342391.