Least Common Multiple of 8658 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 8658 and 8666 the smallest integer that is 37515114 that is divisible by both numbers.

Least Common Multiple (LCM) of 8658 and 8666 is 37515114.

LCM(8658,8666) = 37515114

LCM of 8658 and 8666

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

LCM of:
and

Least Common Multiple of 8658 and 8666

LCM of 8658 and 8666 is 37515114

Least common multiple can be found by multiplying the highest exponent prime factors of 8658 and 8666. First we will calculate the prime factors of 8658 and 8666.

Prime Factorization of 8658


2 8658
3 4329
3 1443
13 481
37 37
1

Prime factors of 8658 are 2, 3, 13,37. Prime factorization of 8658 in exponential form is:

8658 = 21×32×131×371

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 8658 and 8666.

LCM(8658,8666) = 21×32×71×131×371×6191
LCM(8658,8666) = 37515114

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658

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 8658 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 8658 and 8666, than apply into the LCM equation.

GCF(8658,8666) = 2
LCM(8658,8666) = ( 8658 × 8666) / 2
LCM(8658,8666) = 75030228 / 2
LCM(8658,8666) = 37515114

Properties of LCM 8658 and 8666

(i) The LCM of 8666 and 8658 is associative

LCM of 8658 and 8666 = LCM of 8666 and 8658

Related Least Common Multiples of 8658

Related Least Common Multiples of 8666

Frequently Asked Questions on LCM of 8658 and 8666

1. What is the LCM of 8658 and 8666?

Answer: LCM of 8658 and 8666 is 37515114.

2. What are the Factors of 8658?

Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.

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 8658 and 8666?

Answer:

Least Common Multiple of 8658 and 8666 = 37515114

Step 1: Find the prime factorization of 8658

8658 = 2 x 3 x 3 x 13 x 37

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 = 37515114 = 2 x 3 x 3 x 7 x 13 x 37 x 619

Step 4: Therefore, the least common multiple of 8658 and 8666 is 37515114.