Least Common Multiple of 8684 and 8689

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 8689 the smallest integer that is 75455276 that is divisible by both numbers.

Least Common Multiple (LCM) of 8684 and 8689 is 75455276.

LCM(8684,8689) = 75455276

LCM of 8684 and 8689

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

LCM of:
and

Least Common Multiple of 8684 and 8689

LCM of 8684 and 8689 is 75455276

Least common multiple can be found by multiplying the highest exponent prime factors of 8684 and 8689. First we will calculate the prime factors of 8684 and 8689.

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 8689


8689 8689
1

Prime factors of 8689 are 8689. Prime factorization of 8689 in exponential form is:

8689 = 86891

Now multiplying the highest exponent prime factors to calculate the LCM of 8684 and 8689.

LCM(8684,8689) = 22×131×1671×86891
LCM(8684,8689) = 75455276

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 8689

List of positive integer factors of 8689 that divides 8689 without a remainder.

1, 8689

Least Common Multiple of 8684 and 8689 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 8689, than apply into the LCM equation.

GCF(8684,8689) = 1
LCM(8684,8689) = ( 8684 × 8689) / 1
LCM(8684,8689) = 75455276 / 1
LCM(8684,8689) = 75455276

Properties of LCM 8684 and 8689

(i) The LCM of 8689 and 8684 is associative

LCM of 8684 and 8689 = LCM of 8689 and 8684

Related Least Common Multiples of 8684

Related Least Common Multiples of 8689

Frequently Asked Questions on LCM of 8684 and 8689

1. What is the LCM of 8684 and 8689?

Answer: LCM of 8684 and 8689 is 75455276.

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 8689?

Answer: Factors of 8689 are 1, 8689. There are 2 integers that are factors of 8689. The greatest factor of 8689 is 8689.

4. How to Find the LCM of 8684 and 8689?

Answer:

Least Common Multiple of 8684 and 8689 = 75455276

Step 1: Find the prime factorization of 8684

8684 = 2 x 2 x 13 x 167

Step 2: Find the prime factorization of 8689

8689 = 8689

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

LCM = 75455276 = 2 x 2 x 13 x 167 x 8689

Step 4: Therefore, the least common multiple of 8684 and 8689 is 75455276.