Least Common Multiple of 6642 and 6647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6642 and 6647 the smallest integer that is 44149374 that is divisible by both numbers.

Least Common Multiple (LCM) of 6642 and 6647 is 44149374.

LCM(6642,6647) = 44149374

LCM of 6642 and 6647

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

LCM of:
and

Least Common Multiple of 6642 and 6647

LCM of 6642 and 6647 is 44149374

Least common multiple can be found by multiplying the highest exponent prime factors of 6642 and 6647. First we will calculate the prime factors of 6642 and 6647.

Prime Factorization of 6642


2 6642
3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 6642 are 2, 3,41. Prime factorization of 6642 in exponential form is:

6642 = 21×34×411

Prime Factorization of 6647


17 6647
17 391
23 23
1

Prime factors of 6647 are 17,23. Prime factorization of 6647 in exponential form is:

6647 = 172×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6642 and 6647.

LCM(6642,6647) = 21×34×172×231×411
LCM(6642,6647) = 44149374

Factors of 6642

List of positive integer factors of 6642 that divides 6642 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642

Factors of 6647

List of positive integer factors of 6647 that divides 6647 without a remainder.

1, 17, 23, 289, 391, 6647

Least Common Multiple of 6642 and 6647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6642 and 6647, than apply into the LCM equation.

GCF(6642,6647) = 1
LCM(6642,6647) = ( 6642 × 6647) / 1
LCM(6642,6647) = 44149374 / 1
LCM(6642,6647) = 44149374

Properties of LCM 6642 and 6647

(i) The LCM of 6647 and 6642 is associative

LCM of 6642 and 6647 = LCM of 6647 and 6642

Related Least Common Multiples of 6642

Related Least Common Multiples of 6647

Frequently Asked Questions on LCM of 6642 and 6647

1. What is the LCM of 6642 and 6647?

Answer: LCM of 6642 and 6647 is 44149374.

2. What are the Factors of 6642?

Answer: Factors of 6642 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642. There are 20 integers that are factors of 6642. The greatest factor of 6642 is 6642.

3. What are the Factors of 6647?

Answer: Factors of 6647 are 1, 17, 23, 289, 391, 6647. There are 6 integers that are factors of 6647. The greatest factor of 6647 is 6647.

4. How to Find the LCM of 6642 and 6647?

Answer:

Least Common Multiple of 6642 and 6647 = 44149374

Step 1: Find the prime factorization of 6642

6642 = 2 x 3 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 6647

6647 = 17 x 17 x 23

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

LCM = 44149374 = 2 x 3 x 3 x 3 x 3 x 17 x 17 x 23 x 41

Step 4: Therefore, the least common multiple of 6642 and 6647 is 44149374.