Least Common Multiple of 8669 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 8669 and 8670 the smallest integer that is 75160230 that is divisible by both numbers.

Least Common Multiple (LCM) of 8669 and 8670 is 75160230.

LCM(8669,8670) = 75160230

LCM of 8669 and 8670

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

LCM of:
and

Least Common Multiple of 8669 and 8670

LCM of 8669 and 8670 is 75160230

Least common multiple can be found by multiplying the highest exponent prime factors of 8669 and 8670. First we will calculate the prime factors of 8669 and 8670.

Prime Factorization of 8669


8669 8669
1

Prime factors of 8669 are 8669. Prime factorization of 8669 in exponential form is:

8669 = 86691

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 8669 and 8670.

LCM(8669,8670) = 21×31×51×172×86691
LCM(8669,8670) = 75160230

Factors of 8669

List of positive integer factors of 8669 that divides 8669 without a remainder.

1, 8669

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 8669 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 8669 and 8670, than apply into the LCM equation.

GCF(8669,8670) = 1
LCM(8669,8670) = ( 8669 × 8670) / 1
LCM(8669,8670) = 75160230 / 1
LCM(8669,8670) = 75160230

Properties of LCM 8669 and 8670

(i) The LCM of 8670 and 8669 is associative

LCM of 8669 and 8670 = LCM of 8670 and 8669

Related Least Common Multiples of 8669

Related Least Common Multiples of 8670

Frequently Asked Questions on LCM of 8669 and 8670

1. What is the LCM of 8669 and 8670?

Answer: LCM of 8669 and 8670 is 75160230.

2. What are the Factors of 8669?

Answer: Factors of 8669 are 1, 8669. There are 2 integers that are factors of 8669. The greatest factor of 8669 is 8669.

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 8669 and 8670?

Answer:

Least Common Multiple of 8669 and 8670 = 75160230

Step 1: Find the prime factorization of 8669

8669 = 8669

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 = 75160230 = 2 x 3 x 5 x 17 x 17 x 8669

Step 4: Therefore, the least common multiple of 8669 and 8670 is 75160230.