Least Common Multiple of 6642 and 6646

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 6646 the smallest integer that is 22071366 that is divisible by both numbers.

Least Common Multiple (LCM) of 6642 and 6646 is 22071366.

LCM(6642,6646) = 22071366

LCM of 6642 and 6646

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

LCM of:
and

Least Common Multiple of 6642 and 6646

LCM of 6642 and 6646 is 22071366

Least common multiple can be found by multiplying the highest exponent prime factors of 6642 and 6646. First we will calculate the prime factors of 6642 and 6646.

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 6646


2 6646
3323 3323
1

Prime factors of 6646 are 2,3323. Prime factorization of 6646 in exponential form is:

6646 = 21×33231

Now multiplying the highest exponent prime factors to calculate the LCM of 6642 and 6646.

LCM(6642,6646) = 21×34×411×33231
LCM(6642,6646) = 22071366

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 6646

List of positive integer factors of 6646 that divides 6646 without a remainder.

1, 2, 3323, 6646

Least Common Multiple of 6642 and 6646 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 6646, than apply into the LCM equation.

GCF(6642,6646) = 2
LCM(6642,6646) = ( 6642 × 6646) / 2
LCM(6642,6646) = 44142732 / 2
LCM(6642,6646) = 22071366

Properties of LCM 6642 and 6646

(i) The LCM of 6646 and 6642 is associative

LCM of 6642 and 6646 = LCM of 6646 and 6642

Related Least Common Multiples of 6642

Related Least Common Multiples of 6646

Frequently Asked Questions on LCM of 6642 and 6646

1. What is the LCM of 6642 and 6646?

Answer: LCM of 6642 and 6646 is 22071366.

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 6646?

Answer: Factors of 6646 are 1, 2, 3323, 6646. There are 4 integers that are factors of 6646. The greatest factor of 6646 is 6646.

4. How to Find the LCM of 6642 and 6646?

Answer:

Least Common Multiple of 6642 and 6646 = 22071366

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 6646

6646 = 2 x 3323

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

LCM = 22071366 = 2 x 3 x 3 x 3 x 3 x 41 x 3323

Step 4: Therefore, the least common multiple of 6642 and 6646 is 22071366.