Least Common Multiple of 8694 and 8702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8694 and 8702 the smallest integer that is 37827594 that is divisible by both numbers.

Least Common Multiple (LCM) of 8694 and 8702 is 37827594.

LCM(8694,8702) = 37827594

LCM of 8694 and 8702

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

LCM of:
and

Least Common Multiple of 8694 and 8702

LCM of 8694 and 8702 is 37827594

Least common multiple can be found by multiplying the highest exponent prime factors of 8694 and 8702. First we will calculate the prime factors of 8694 and 8702.

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

Prime Factorization of 8702


2 8702
19 4351
229 229
1

Prime factors of 8702 are 2, 19,229. Prime factorization of 8702 in exponential form is:

8702 = 21×191×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8694 and 8702.

LCM(8694,8702) = 21×33×71×191×231×2291
LCM(8694,8702) = 37827594

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

Factors of 8702

List of positive integer factors of 8702 that divides 8702 without a remainder.

1, 2, 19, 38, 229, 458, 4351, 8702

Least Common Multiple of 8694 and 8702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8694 and 8702, than apply into the LCM equation.

GCF(8694,8702) = 2
LCM(8694,8702) = ( 8694 × 8702) / 2
LCM(8694,8702) = 75655188 / 2
LCM(8694,8702) = 37827594

Properties of LCM 8694 and 8702

(i) The LCM of 8702 and 8694 is associative

LCM of 8694 and 8702 = LCM of 8702 and 8694

Related Least Common Multiples of 8694

Related Least Common Multiples of 8702

Frequently Asked Questions on LCM of 8694 and 8702

1. What is the LCM of 8694 and 8702?

Answer: LCM of 8694 and 8702 is 37827594.

2. 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.

3. What are the Factors of 8702?

Answer: Factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702. There are 8 integers that are factors of 8702. The greatest factor of 8702 is 8702.

4. How to Find the LCM of 8694 and 8702?

Answer:

Least Common Multiple of 8694 and 8702 = 37827594

Step 1: Find the prime factorization of 8694

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

Step 2: Find the prime factorization of 8702

8702 = 2 x 19 x 229

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

LCM = 37827594 = 2 x 3 x 3 x 3 x 7 x 19 x 23 x 229

Step 4: Therefore, the least common multiple of 8694 and 8702 is 37827594.