Least Common Multiple of 8661 and 8664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8661 and 8664 the smallest integer that is 25012968 that is divisible by both numbers.

Least Common Multiple (LCM) of 8661 and 8664 is 25012968.

LCM(8661,8664) = 25012968

LCM of 8661 and 8664

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

LCM of:
and

Least Common Multiple of 8661 and 8664

LCM of 8661 and 8664 is 25012968

Least common multiple can be found by multiplying the highest exponent prime factors of 8661 and 8664. First we will calculate the prime factors of 8661 and 8664.

Prime Factorization of 8661


3 8661
2887 2887
1

Prime factors of 8661 are 3,2887. Prime factorization of 8661 in exponential form is:

8661 = 31×28871

Prime Factorization of 8664


2 8664
2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 8664 are 2, 3,19. Prime factorization of 8664 in exponential form is:

8664 = 23×31×192

Now multiplying the highest exponent prime factors to calculate the LCM of 8661 and 8664.

LCM(8661,8664) = 23×31×192×28871
LCM(8661,8664) = 25012968

Factors of 8661

List of positive integer factors of 8661 that divides 8661 without a remainder.

1, 3, 2887, 8661

Factors of 8664

List of positive integer factors of 8664 that divides 8664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664

Least Common Multiple of 8661 and 8664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8661 and 8664, than apply into the LCM equation.

GCF(8661,8664) = 3
LCM(8661,8664) = ( 8661 × 8664) / 3
LCM(8661,8664) = 75038904 / 3
LCM(8661,8664) = 25012968

Properties of LCM 8661 and 8664

(i) The LCM of 8664 and 8661 is associative

LCM of 8661 and 8664 = LCM of 8664 and 8661

Related Least Common Multiples of 8661

Related Least Common Multiples of 8664

Frequently Asked Questions on LCM of 8661 and 8664

1. What is the LCM of 8661 and 8664?

Answer: LCM of 8661 and 8664 is 25012968.

2. What are the Factors of 8661?

Answer: Factors of 8661 are 1, 3, 2887, 8661. There are 4 integers that are factors of 8661. The greatest factor of 8661 is 8661.

3. What are the Factors of 8664?

Answer: Factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664. There are 24 integers that are factors of 8664. The greatest factor of 8664 is 8664.

4. How to Find the LCM of 8661 and 8664?

Answer:

Least Common Multiple of 8661 and 8664 = 25012968

Step 1: Find the prime factorization of 8661

8661 = 3 x 2887

Step 2: Find the prime factorization of 8664

8664 = 2 x 2 x 2 x 3 x 19 x 19

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

LCM = 25012968 = 2 x 2 x 2 x 3 x 19 x 19 x 2887

Step 4: Therefore, the least common multiple of 8661 and 8664 is 25012968.