Least Common Multiple of 8666 and 8674

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 8674 the smallest integer that is 37584442 that is divisible by both numbers.

Least Common Multiple (LCM) of 8666 and 8674 is 37584442.

LCM(8666,8674) = 37584442

LCM of 8666 and 8674

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

LCM of:
and

Least Common Multiple of 8666 and 8674

LCM of 8666 and 8674 is 37584442

Least common multiple can be found by multiplying the highest exponent prime factors of 8666 and 8674. First we will calculate the prime factors of 8666 and 8674.

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 8674


2 8674
4337 4337
1

Prime factors of 8674 are 2,4337. Prime factorization of 8674 in exponential form is:

8674 = 21×43371

Now multiplying the highest exponent prime factors to calculate the LCM of 8666 and 8674.

LCM(8666,8674) = 21×71×6191×43371
LCM(8666,8674) = 37584442

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 8674

List of positive integer factors of 8674 that divides 8674 without a remainder.

1, 2, 4337, 8674

Least Common Multiple of 8666 and 8674 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 8674, than apply into the LCM equation.

GCF(8666,8674) = 2
LCM(8666,8674) = ( 8666 × 8674) / 2
LCM(8666,8674) = 75168884 / 2
LCM(8666,8674) = 37584442

Properties of LCM 8666 and 8674

(i) The LCM of 8674 and 8666 is associative

LCM of 8666 and 8674 = LCM of 8674 and 8666

Related Least Common Multiples of 8666

Related Least Common Multiples of 8674

Frequently Asked Questions on LCM of 8666 and 8674

1. What is the LCM of 8666 and 8674?

Answer: LCM of 8666 and 8674 is 37584442.

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 8674?

Answer: Factors of 8674 are 1, 2, 4337, 8674. There are 4 integers that are factors of 8674. The greatest factor of 8674 is 8674.

4. How to Find the LCM of 8666 and 8674?

Answer:

Least Common Multiple of 8666 and 8674 = 37584442

Step 1: Find the prime factorization of 8666

8666 = 2 x 7 x 619

Step 2: Find the prime factorization of 8674

8674 = 2 x 4337

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

LCM = 37584442 = 2 x 7 x 619 x 4337

Step 4: Therefore, the least common multiple of 8666 and 8674 is 37584442.