Least Common Multiple of 8660 and 8666

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 8666 the smallest integer that is 37523780 that is divisible by both numbers.

Least Common Multiple (LCM) of 8660 and 8666 is 37523780.

LCM(8660,8666) = 37523780

LCM of 8660 and 8666

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

LCM of:
and

Least Common Multiple of 8660 and 8666

LCM of 8660 and 8666 is 37523780

Least common multiple can be found by multiplying the highest exponent prime factors of 8660 and 8666. First we will calculate the prime factors of 8660 and 8666.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8660 and 8666.

LCM(8660,8666) = 22×51×71×4331×6191
LCM(8660,8666) = 37523780

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 8666

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

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

Least Common Multiple of 8660 and 8666 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 8666, than apply into the LCM equation.

GCF(8660,8666) = 2
LCM(8660,8666) = ( 8660 × 8666) / 2
LCM(8660,8666) = 75047560 / 2
LCM(8660,8666) = 37523780

Properties of LCM 8660 and 8666

(i) The LCM of 8666 and 8660 is associative

LCM of 8660 and 8666 = LCM of 8666 and 8660

Related Least Common Multiples of 8660

Related Least Common Multiples of 8666

Frequently Asked Questions on LCM of 8660 and 8666

1. What is the LCM of 8660 and 8666?

Answer: LCM of 8660 and 8666 is 37523780.

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 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.

4. How to Find the LCM of 8660 and 8666?

Answer:

Least Common Multiple of 8660 and 8666 = 37523780

Step 1: Find the prime factorization of 8660

8660 = 2 x 2 x 5 x 433

Step 2: Find the prime factorization of 8666

8666 = 2 x 7 x 619

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

LCM = 37523780 = 2 x 2 x 5 x 7 x 433 x 619

Step 4: Therefore, the least common multiple of 8660 and 8666 is 37523780.