Least Common Multiple of 8666 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 8666 and 8670 the smallest integer that is 37567110 that is divisible by both numbers.

Least Common Multiple (LCM) of 8666 and 8670 is 37567110.

LCM(8666,8670) = 37567110

LCM of 8666 and 8670

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

LCM of:
and

Least Common Multiple of 8666 and 8670

LCM of 8666 and 8670 is 37567110

Least common multiple can be found by multiplying the highest exponent prime factors of 8666 and 8670. First we will calculate the prime factors of 8666 and 8670.

Prime Factorization of 8666


2 8666
7 4333
619 619
1

Prime factors of 8666 are 2, 7,619. Prime factorization of 8666 in exponential form is:

8666 = 21×71×6191

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 8666 and 8670.

LCM(8666,8670) = 21×31×51×71×172×6191
LCM(8666,8670) = 37567110

Factors of 8666

List of positive integer factors of 8666 that divides 8666 without a remainder.

1, 2, 7, 14, 619, 1238, 4333, 8666

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 8666 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 8666 and 8670, than apply into the LCM equation.

GCF(8666,8670) = 2
LCM(8666,8670) = ( 8666 × 8670) / 2
LCM(8666,8670) = 75134220 / 2
LCM(8666,8670) = 37567110

Properties of LCM 8666 and 8670

(i) The LCM of 8670 and 8666 is associative

LCM of 8666 and 8670 = LCM of 8670 and 8666

Related Least Common Multiples of 8666

Related Least Common Multiples of 8670

Frequently Asked Questions on LCM of 8666 and 8670

1. What is the LCM of 8666 and 8670?

Answer: LCM of 8666 and 8670 is 37567110.

2. What are the Factors of 8666?

Answer: Factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666. There are 8 integers that are factors of 8666. The greatest factor of 8666 is 8666.

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 8666 and 8670?

Answer:

Least Common Multiple of 8666 and 8670 = 37567110

Step 1: Find the prime factorization of 8666

8666 = 2 x 7 x 619

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 = 37567110 = 2 x 3 x 5 x 7 x 17 x 17 x 619

Step 4: Therefore, the least common multiple of 8666 and 8670 is 37567110.