Least Common Multiple of 8684 and 8690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8684 and 8690 the smallest integer that is 37731980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8684 and 8690 is 37731980.

LCM(8684,8690) = 37731980

LCM of 8684 and 8690

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

LCM of:
and

Least Common Multiple of 8684 and 8690

LCM of 8684 and 8690 is 37731980

Least common multiple can be found by multiplying the highest exponent prime factors of 8684 and 8690. First we will calculate the prime factors of 8684 and 8690.

Prime Factorization of 8684


2 8684
2 4342
13 2171
167 167
1

Prime factors of 8684 are 2, 13,167. Prime factorization of 8684 in exponential form is:

8684 = 22×131×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8684 and 8690.

LCM(8684,8690) = 22×51×111×131×791×1671
LCM(8684,8690) = 37731980

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684

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

Least Common Multiple of 8684 and 8690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8684 and 8690, than apply into the LCM equation.

GCF(8684,8690) = 2
LCM(8684,8690) = ( 8684 × 8690) / 2
LCM(8684,8690) = 75463960 / 2
LCM(8684,8690) = 37731980

Properties of LCM 8684 and 8690

(i) The LCM of 8690 and 8684 is associative

LCM of 8684 and 8690 = LCM of 8690 and 8684

Related Least Common Multiples of 8684

Related Least Common Multiples of 8690

Frequently Asked Questions on LCM of 8684 and 8690

1. What is the LCM of 8684 and 8690?

Answer: LCM of 8684 and 8690 is 37731980.

2. What are the Factors of 8684?

Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.

3. 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.

4. How to Find the LCM of 8684 and 8690?

Answer:

Least Common Multiple of 8684 and 8690 = 37731980

Step 1: Find the prime factorization of 8684

8684 = 2 x 2 x 13 x 167

Step 2: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

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

LCM = 37731980 = 2 x 2 x 5 x 11 x 13 x 79 x 167

Step 4: Therefore, the least common multiple of 8684 and 8690 is 37731980.