Least Common Multiple of 8664 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 8664 and 8670 the smallest integer that is 12519480 that is divisible by both numbers.

Least Common Multiple (LCM) of 8664 and 8670 is 12519480.

LCM(8664,8670) = 12519480

LCM of 8664 and 8670

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

LCM of:
and

Least Common Multiple of 8664 and 8670

LCM of 8664 and 8670 is 12519480

Least common multiple can be found by multiplying the highest exponent prime factors of 8664 and 8670. First we will calculate the prime factors of 8664 and 8670.

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

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 8664 and 8670.

LCM(8664,8670) = 23×31×51×172×192
LCM(8664,8670) = 12519480

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

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 8664 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 8664 and 8670, than apply into the LCM equation.

GCF(8664,8670) = 6
LCM(8664,8670) = ( 8664 × 8670) / 6
LCM(8664,8670) = 75116880 / 6
LCM(8664,8670) = 12519480

Properties of LCM 8664 and 8670

(i) The LCM of 8670 and 8664 is associative

LCM of 8664 and 8670 = LCM of 8670 and 8664

Related Least Common Multiples of 8664

Related Least Common Multiples of 8670

Frequently Asked Questions on LCM of 8664 and 8670

1. What is the LCM of 8664 and 8670?

Answer: LCM of 8664 and 8670 is 12519480.

2. 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.

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 8664 and 8670?

Answer:

Least Common Multiple of 8664 and 8670 = 12519480

Step 1: Find the prime factorization of 8664

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

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 = 12519480 = 2 x 2 x 2 x 3 x 5 x 17 x 17 x 19 x 19

Step 4: Therefore, the least common multiple of 8664 and 8670 is 12519480.