Least Common Multiple of 8676 and 8681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8676 and 8681 the smallest integer that is 75316356 that is divisible by both numbers.

Least Common Multiple (LCM) of 8676 and 8681 is 75316356.

LCM(8676,8681) = 75316356

LCM of 8676 and 8681

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

LCM of:
and

Least Common Multiple of 8676 and 8681

LCM of 8676 and 8681 is 75316356

Least common multiple can be found by multiplying the highest exponent prime factors of 8676 and 8681. First we will calculate the prime factors of 8676 and 8681.

Prime Factorization of 8676


2 8676
2 4338
3 2169
3 723
241 241
1

Prime factors of 8676 are 2, 3,241. Prime factorization of 8676 in exponential form is:

8676 = 22×32×2411

Prime Factorization of 8681


8681 8681
1

Prime factors of 8681 are 8681. Prime factorization of 8681 in exponential form is:

8681 = 86811

Now multiplying the highest exponent prime factors to calculate the LCM of 8676 and 8681.

LCM(8676,8681) = 22×32×2411×86811
LCM(8676,8681) = 75316356

Factors of 8676

List of positive integer factors of 8676 that divides 8676 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676

Factors of 8681

List of positive integer factors of 8681 that divides 8681 without a remainder.

1, 8681

Least Common Multiple of 8676 and 8681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8676 and 8681, than apply into the LCM equation.

GCF(8676,8681) = 1
LCM(8676,8681) = ( 8676 × 8681) / 1
LCM(8676,8681) = 75316356 / 1
LCM(8676,8681) = 75316356

Properties of LCM 8676 and 8681

(i) The LCM of 8681 and 8676 is associative

LCM of 8676 and 8681 = LCM of 8681 and 8676

Related Least Common Multiples of 8676

Related Least Common Multiples of 8681

Frequently Asked Questions on LCM of 8676 and 8681

1. What is the LCM of 8676 and 8681?

Answer: LCM of 8676 and 8681 is 75316356.

2. What are the Factors of 8676?

Answer: Factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676. There are 18 integers that are factors of 8676. The greatest factor of 8676 is 8676.

3. What are the Factors of 8681?

Answer: Factors of 8681 are 1, 8681. There are 2 integers that are factors of 8681. The greatest factor of 8681 is 8681.

4. How to Find the LCM of 8676 and 8681?

Answer:

Least Common Multiple of 8676 and 8681 = 75316356

Step 1: Find the prime factorization of 8676

8676 = 2 x 2 x 3 x 3 x 241

Step 2: Find the prime factorization of 8681

8681 = 8681

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

LCM = 75316356 = 2 x 2 x 3 x 3 x 241 x 8681

Step 4: Therefore, the least common multiple of 8676 and 8681 is 75316356.