Least Common Multiple of 8694 and 8698

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 8698 the smallest integer that is 37810206 that is divisible by both numbers.

Least Common Multiple (LCM) of 8694 and 8698 is 37810206.

LCM(8694,8698) = 37810206

LCM of 8694 and 8698

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

LCM of:
and

Least Common Multiple of 8694 and 8698

LCM of 8694 and 8698 is 37810206

Least common multiple can be found by multiplying the highest exponent prime factors of 8694 and 8698. First we will calculate the prime factors of 8694 and 8698.

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 8698


2 8698
4349 4349
1

Prime factors of 8698 are 2,4349. Prime factorization of 8698 in exponential form is:

8698 = 21×43491

Now multiplying the highest exponent prime factors to calculate the LCM of 8694 and 8698.

LCM(8694,8698) = 21×33×71×231×43491
LCM(8694,8698) = 37810206

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 8698

List of positive integer factors of 8698 that divides 8698 without a remainder.

1, 2, 4349, 8698

Least Common Multiple of 8694 and 8698 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 8698, than apply into the LCM equation.

GCF(8694,8698) = 2
LCM(8694,8698) = ( 8694 × 8698) / 2
LCM(8694,8698) = 75620412 / 2
LCM(8694,8698) = 37810206

Properties of LCM 8694 and 8698

(i) The LCM of 8698 and 8694 is associative

LCM of 8694 and 8698 = LCM of 8698 and 8694

Related Least Common Multiples of 8694

Related Least Common Multiples of 8698

Frequently Asked Questions on LCM of 8694 and 8698

1. What is the LCM of 8694 and 8698?

Answer: LCM of 8694 and 8698 is 37810206.

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 8698?

Answer: Factors of 8698 are 1, 2, 4349, 8698. There are 4 integers that are factors of 8698. The greatest factor of 8698 is 8698.

4. How to Find the LCM of 8694 and 8698?

Answer:

Least Common Multiple of 8694 and 8698 = 37810206

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 8698

8698 = 2 x 4349

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

LCM = 37810206 = 2 x 3 x 3 x 3 x 7 x 23 x 4349

Step 4: Therefore, the least common multiple of 8694 and 8698 is 37810206.