Least Common Multiple of 8690 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 8690 and 8694 the smallest integer that is 37775430 that is divisible by both numbers.

Least Common Multiple (LCM) of 8690 and 8694 is 37775430.

LCM(8690,8694) = 37775430

LCM of 8690 and 8694

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

LCM of:
and

Least Common Multiple of 8690 and 8694

LCM of 8690 and 8694 is 37775430

Least common multiple can be found by multiplying the highest exponent prime factors of 8690 and 8694. First we will calculate the prime factors of 8690 and 8694.

Prime Factorization of 8690


2 8690
5 4345
11 869
79 79
1

Prime factors of 8690 are 2, 5, 11,79. Prime factorization of 8690 in exponential form is:

8690 = 21×51×111×791

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 8690 and 8694.

LCM(8690,8694) = 21×33×51×71×111×231×791
LCM(8690,8694) = 37775430

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690

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 8690 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 8690 and 8694, than apply into the LCM equation.

GCF(8690,8694) = 2
LCM(8690,8694) = ( 8690 × 8694) / 2
LCM(8690,8694) = 75550860 / 2
LCM(8690,8694) = 37775430

Properties of LCM 8690 and 8694

(i) The LCM of 8694 and 8690 is associative

LCM of 8690 and 8694 = LCM of 8694 and 8690

Related Least Common Multiples of 8690

Related Least Common Multiples of 8694

Frequently Asked Questions on LCM of 8690 and 8694

1. What is the LCM of 8690 and 8694?

Answer: LCM of 8690 and 8694 is 37775430.

2. What are the Factors of 8690?

Answer: Factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690. There are 16 integers that are factors of 8690. The greatest factor of 8690 is 8690.

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 8690 and 8694?

Answer:

Least Common Multiple of 8690 and 8694 = 37775430

Step 1: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

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 = 37775430 = 2 x 3 x 3 x 3 x 5 x 7 x 11 x 23 x 79

Step 4: Therefore, the least common multiple of 8690 and 8694 is 37775430.