Least Common Multiple of 8662 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 8662 and 8667 the smallest integer that is 75073554 that is divisible by both numbers.

Least Common Multiple (LCM) of 8662 and 8667 is 75073554.

LCM(8662,8667) = 75073554

LCM of 8662 and 8667

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

LCM of:
and

Least Common Multiple of 8662 and 8667

LCM of 8662 and 8667 is 75073554

Least common multiple can be found by multiplying the highest exponent prime factors of 8662 and 8667. First we will calculate the prime factors of 8662 and 8667.

Prime Factorization of 8662


2 8662
61 4331
71 71
1

Prime factors of 8662 are 2, 61,71. Prime factorization of 8662 in exponential form is:

8662 = 21×611×711

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 8662 and 8667.

LCM(8662,8667) = 21×34×611×711×1071
LCM(8662,8667) = 75073554

Factors of 8662

List of positive integer factors of 8662 that divides 8662 without a remainder.

1, 2, 61, 71, 122, 142, 4331, 8662

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 8662 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 8662 and 8667, than apply into the LCM equation.

GCF(8662,8667) = 1
LCM(8662,8667) = ( 8662 × 8667) / 1
LCM(8662,8667) = 75073554 / 1
LCM(8662,8667) = 75073554

Properties of LCM 8662 and 8667

(i) The LCM of 8667 and 8662 is associative

LCM of 8662 and 8667 = LCM of 8667 and 8662

Related Least Common Multiples of 8662

Related Least Common Multiples of 8667

Frequently Asked Questions on LCM of 8662 and 8667

1. What is the LCM of 8662 and 8667?

Answer: LCM of 8662 and 8667 is 75073554.

2. What are the Factors of 8662?

Answer: Factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662. There are 8 integers that are factors of 8662. The greatest factor of 8662 is 8662.

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 8662 and 8667?

Answer:

Least Common Multiple of 8662 and 8667 = 75073554

Step 1: Find the prime factorization of 8662

8662 = 2 x 61 x 71

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 = 75073554 = 2 x 3 x 3 x 3 x 3 x 61 x 71 x 107

Step 4: Therefore, the least common multiple of 8662 and 8667 is 75073554.