Least Common Multiple of 8676 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 8676 and 8684 the smallest integer that is 18835596 that is divisible by both numbers.

Least Common Multiple (LCM) of 8676 and 8684 is 18835596.

LCM(8676,8684) = 18835596

LCM of 8676 and 8684

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

LCM of:
and

Least Common Multiple of 8676 and 8684

LCM of 8676 and 8684 is 18835596

Least common multiple can be found by multiplying the highest exponent prime factors of 8676 and 8684. First we will calculate the prime factors of 8676 and 8684.

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 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 8676 and 8684.

LCM(8676,8684) = 22×32×131×1671×2411
LCM(8676,8684) = 18835596

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 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 8676 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 8676 and 8684, than apply into the LCM equation.

GCF(8676,8684) = 4
LCM(8676,8684) = ( 8676 × 8684) / 4
LCM(8676,8684) = 75342384 / 4
LCM(8676,8684) = 18835596

Properties of LCM 8676 and 8684

(i) The LCM of 8684 and 8676 is associative

LCM of 8676 and 8684 = LCM of 8684 and 8676

Related Least Common Multiples of 8676

Related Least Common Multiples of 8684

Frequently Asked Questions on LCM of 8676 and 8684

1. What is the LCM of 8676 and 8684?

Answer: LCM of 8676 and 8684 is 18835596.

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 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 8676 and 8684?

Answer:

Least Common Multiple of 8676 and 8684 = 18835596

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 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 = 18835596 = 2 x 2 x 3 x 3 x 13 x 167 x 241

Step 4: Therefore, the least common multiple of 8676 and 8684 is 18835596.