Least Common Multiple of 8665 and 8670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8665 and 8670 the smallest integer that is 15025110 that is divisible by both numbers.

Least Common Multiple (LCM) of 8665 and 8670 is 15025110.

LCM(8665,8670) = 15025110

LCM of 8665 and 8670

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

LCM of:
and

Least Common Multiple of 8665 and 8670

LCM of 8665 and 8670 is 15025110

Least common multiple can be found by multiplying the highest exponent prime factors of 8665 and 8670. First we will calculate the prime factors of 8665 and 8670.

Prime Factorization of 8665


5 8665
1733 1733
1

Prime factors of 8665 are 5,1733. Prime factorization of 8665 in exponential form is:

8665 = 51×17331

Prime Factorization of 8670


2 8670
3 4335
5 1445
17 289
17 17
1

Prime factors of 8670 are 2, 3, 5,17. Prime factorization of 8670 in exponential form is:

8670 = 21×31×51×172

Now multiplying the highest exponent prime factors to calculate the LCM of 8665 and 8670.

LCM(8665,8670) = 21×31×51×172×17331
LCM(8665,8670) = 15025110

Factors of 8665

List of positive integer factors of 8665 that divides 8665 without a remainder.

1, 5, 1733, 8665

Factors of 8670

List of positive integer factors of 8670 that divides 8670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670

Least Common Multiple of 8665 and 8670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8665 and 8670, than apply into the LCM equation.

GCF(8665,8670) = 5
LCM(8665,8670) = ( 8665 × 8670) / 5
LCM(8665,8670) = 75125550 / 5
LCM(8665,8670) = 15025110

Properties of LCM 8665 and 8670

(i) The LCM of 8670 and 8665 is associative

LCM of 8665 and 8670 = LCM of 8670 and 8665

Related Least Common Multiples of 8665

Related Least Common Multiples of 8670

Frequently Asked Questions on LCM of 8665 and 8670

1. What is the LCM of 8665 and 8670?

Answer: LCM of 8665 and 8670 is 15025110.

2. What are the Factors of 8665?

Answer: Factors of 8665 are 1, 5, 1733, 8665. There are 4 integers that are factors of 8665. The greatest factor of 8665 is 8665.

3. What are the Factors of 8670?

Answer: Factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670. There are 24 integers that are factors of 8670. The greatest factor of 8670 is 8670.

4. How to Find the LCM of 8665 and 8670?

Answer:

Least Common Multiple of 8665 and 8670 = 15025110

Step 1: Find the prime factorization of 8665

8665 = 5 x 1733

Step 2: Find the prime factorization of 8670

8670 = 2 x 3 x 5 x 17 x 17

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

LCM = 15025110 = 2 x 3 x 5 x 17 x 17 x 1733

Step 4: Therefore, the least common multiple of 8665 and 8670 is 15025110.