Least Common Multiple of 8688 and 8694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8688 and 8694 the smallest integer that is 12588912 that is divisible by both numbers.

Least Common Multiple (LCM) of 8688 and 8694 is 12588912.

LCM(8688,8694) = 12588912

LCM of 8688 and 8694

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

LCM of:
and

Least Common Multiple of 8688 and 8694

LCM of 8688 and 8694 is 12588912

Least common multiple can be found by multiplying the highest exponent prime factors of 8688 and 8694. First we will calculate the prime factors of 8688 and 8694.

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

Prime Factorization of 8694


2 8694
3 4347
3 1449
3 483
7 161
23 23
1

Prime factors of 8694 are 2, 3, 7,23. Prime factorization of 8694 in exponential form is:

8694 = 21×33×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8688 and 8694.

LCM(8688,8694) = 24×33×71×231×1811
LCM(8688,8694) = 12588912

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

Factors of 8694

List of positive integer factors of 8694 that divides 8694 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694

Least Common Multiple of 8688 and 8694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8688 and 8694, than apply into the LCM equation.

GCF(8688,8694) = 6
LCM(8688,8694) = ( 8688 × 8694) / 6
LCM(8688,8694) = 75533472 / 6
LCM(8688,8694) = 12588912

Properties of LCM 8688 and 8694

(i) The LCM of 8694 and 8688 is associative

LCM of 8688 and 8694 = LCM of 8694 and 8688

Related Least Common Multiples of 8688

Related Least Common Multiples of 8694

Frequently Asked Questions on LCM of 8688 and 8694

1. What is the LCM of 8688 and 8694?

Answer: LCM of 8688 and 8694 is 12588912.

2. 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.

3. What are the Factors of 8694?

Answer: Factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694. There are 32 integers that are factors of 8694. The greatest factor of 8694 is 8694.

4. How to Find the LCM of 8688 and 8694?

Answer:

Least Common Multiple of 8688 and 8694 = 12588912

Step 1: Find the prime factorization of 8688

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

Step 2: Find the prime factorization of 8694

8694 = 2 x 3 x 3 x 3 x 7 x 23

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

LCM = 12588912 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 23 x 181

Step 4: Therefore, the least common multiple of 8688 and 8694 is 12588912.