Least Common Multiple of 8690 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 8690 and 8698 the smallest integer that is 37792810 that is divisible by both numbers.

Least Common Multiple (LCM) of 8690 and 8698 is 37792810.

LCM(8690,8698) = 37792810

LCM of 8690 and 8698

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

LCM of:
and

Least Common Multiple of 8690 and 8698

LCM of 8690 and 8698 is 37792810

Least common multiple can be found by multiplying the highest exponent prime factors of 8690 and 8698. First we will calculate the prime factors of 8690 and 8698.

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 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 8690 and 8698.

LCM(8690,8698) = 21×51×111×791×43491
LCM(8690,8698) = 37792810

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 8698

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

1, 2, 4349, 8698

Least Common Multiple of 8690 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 8690 and 8698, than apply into the LCM equation.

GCF(8690,8698) = 2
LCM(8690,8698) = ( 8690 × 8698) / 2
LCM(8690,8698) = 75585620 / 2
LCM(8690,8698) = 37792810

Properties of LCM 8690 and 8698

(i) The LCM of 8698 and 8690 is associative

LCM of 8690 and 8698 = LCM of 8698 and 8690

Related Least Common Multiples of 8690

Related Least Common Multiples of 8698

Frequently Asked Questions on LCM of 8690 and 8698

1. What is the LCM of 8690 and 8698?

Answer: LCM of 8690 and 8698 is 37792810.

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 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 8690 and 8698?

Answer:

Least Common Multiple of 8690 and 8698 = 37792810

Step 1: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

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 = 37792810 = 2 x 5 x 11 x 79 x 4349

Step 4: Therefore, the least common multiple of 8690 and 8698 is 37792810.