Least Common Multiple of 8660 and 8667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8660 and 8667 the smallest integer that is 75056220 that is divisible by both numbers.

Least Common Multiple (LCM) of 8660 and 8667 is 75056220.

LCM(8660,8667) = 75056220

LCM of 8660 and 8667

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

LCM of:
and

Least Common Multiple of 8660 and 8667

LCM of 8660 and 8667 is 75056220

Least common multiple can be found by multiplying the highest exponent prime factors of 8660 and 8667. First we will calculate the prime factors of 8660 and 8667.

Prime Factorization of 8660


2 8660
2 4330
5 2165
433 433
1

Prime factors of 8660 are 2, 5,433. Prime factorization of 8660 in exponential form is:

8660 = 22×51×4331

Prime Factorization of 8667


3 8667
3 2889
3 963
3 321
107 107
1

Prime factors of 8667 are 3,107. Prime factorization of 8667 in exponential form is:

8667 = 34×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8660 and 8667.

LCM(8660,8667) = 22×34×51×1071×4331
LCM(8660,8667) = 75056220

Factors of 8660

List of positive integer factors of 8660 that divides 8660 without a remainder.

1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660

Factors of 8667

List of positive integer factors of 8667 that divides 8667 without a remainder.

1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667

Least Common Multiple of 8660 and 8667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8660 and 8667, than apply into the LCM equation.

GCF(8660,8667) = 1
LCM(8660,8667) = ( 8660 × 8667) / 1
LCM(8660,8667) = 75056220 / 1
LCM(8660,8667) = 75056220

Properties of LCM 8660 and 8667

(i) The LCM of 8667 and 8660 is associative

LCM of 8660 and 8667 = LCM of 8667 and 8660

Related Least Common Multiples of 8660

Related Least Common Multiples of 8667

Frequently Asked Questions on LCM of 8660 and 8667

1. What is the LCM of 8660 and 8667?

Answer: LCM of 8660 and 8667 is 75056220.

2. What are the Factors of 8660?

Answer: Factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660. There are 12 integers that are factors of 8660. The greatest factor of 8660 is 8660.

3. What are the Factors of 8667?

Answer: Factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667. There are 10 integers that are factors of 8667. The greatest factor of 8667 is 8667.

4. How to Find the LCM of 8660 and 8667?

Answer:

Least Common Multiple of 8660 and 8667 = 75056220

Step 1: Find the prime factorization of 8660

8660 = 2 x 2 x 5 x 433

Step 2: Find the prime factorization of 8667

8667 = 3 x 3 x 3 x 3 x 107

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

LCM = 75056220 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 107 x 433

Step 4: Therefore, the least common multiple of 8660 and 8667 is 75056220.