Least Common Multiple of 8682 and 8688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8682 and 8688 the smallest integer that is 12571536 that is divisible by both numbers.

Least Common Multiple (LCM) of 8682 and 8688 is 12571536.

LCM(8682,8688) = 12571536

LCM of 8682 and 8688

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

LCM of:
and

Least Common Multiple of 8682 and 8688

LCM of 8682 and 8688 is 12571536

Least common multiple can be found by multiplying the highest exponent prime factors of 8682 and 8688. First we will calculate the prime factors of 8682 and 8688.

Prime Factorization of 8682


2 8682
3 4341
1447 1447
1

Prime factors of 8682 are 2, 3,1447. Prime factorization of 8682 in exponential form is:

8682 = 21×31×14471

Prime Factorization of 8688


2 8688
2 4344
2 2172
2 1086
3 543
181 181
1

Prime factors of 8688 are 2, 3,181. Prime factorization of 8688 in exponential form is:

8688 = 24×31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 8682 and 8688.

LCM(8682,8688) = 24×31×1811×14471
LCM(8682,8688) = 12571536

Factors of 8682

List of positive integer factors of 8682 that divides 8682 without a remainder.

1, 2, 3, 6, 1447, 2894, 4341, 8682

Factors of 8688

List of positive integer factors of 8688 that divides 8688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688

Least Common Multiple of 8682 and 8688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8682 and 8688, than apply into the LCM equation.

GCF(8682,8688) = 6
LCM(8682,8688) = ( 8682 × 8688) / 6
LCM(8682,8688) = 75429216 / 6
LCM(8682,8688) = 12571536

Properties of LCM 8682 and 8688

(i) The LCM of 8688 and 8682 is associative

LCM of 8682 and 8688 = LCM of 8688 and 8682

Related Least Common Multiples of 8682

Related Least Common Multiples of 8688

Frequently Asked Questions on LCM of 8682 and 8688

1. What is the LCM of 8682 and 8688?

Answer: LCM of 8682 and 8688 is 12571536.

2. What are the Factors of 8682?

Answer: Factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682. There are 8 integers that are factors of 8682. The greatest factor of 8682 is 8682.

3. What are the Factors of 8688?

Answer: Factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688. There are 20 integers that are factors of 8688. The greatest factor of 8688 is 8688.

4. How to Find the LCM of 8682 and 8688?

Answer:

Least Common Multiple of 8682 and 8688 = 12571536

Step 1: Find the prime factorization of 8682

8682 = 2 x 3 x 1447

Step 2: Find the prime factorization of 8688

8688 = 2 x 2 x 2 x 2 x 3 x 181

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

LCM = 12571536 = 2 x 2 x 2 x 2 x 3 x 181 x 1447

Step 4: Therefore, the least common multiple of 8682 and 8688 is 12571536.