Least Common Multiple of 6636 and 6642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6636 and 6642 the smallest integer that is 7346052 that is divisible by both numbers.

Least Common Multiple (LCM) of 6636 and 6642 is 7346052.

LCM(6636,6642) = 7346052

LCM of 6636 and 6642

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

LCM of:
and

Least Common Multiple of 6636 and 6642

LCM of 6636 and 6642 is 7346052

Least common multiple can be found by multiplying the highest exponent prime factors of 6636 and 6642. First we will calculate the prime factors of 6636 and 6642.

Prime Factorization of 6636


2 6636
2 3318
3 1659
7 553
79 79
1

Prime factors of 6636 are 2, 3, 7,79. Prime factorization of 6636 in exponential form is:

6636 = 22×31×71×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6636 and 6642.

LCM(6636,6642) = 22×34×71×411×791
LCM(6636,6642) = 7346052

Factors of 6636

List of positive integer factors of 6636 that divides 6636 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636

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

Least Common Multiple of 6636 and 6642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6636 and 6642, than apply into the LCM equation.

GCF(6636,6642) = 6
LCM(6636,6642) = ( 6636 × 6642) / 6
LCM(6636,6642) = 44076312 / 6
LCM(6636,6642) = 7346052

Properties of LCM 6636 and 6642

(i) The LCM of 6642 and 6636 is associative

LCM of 6636 and 6642 = LCM of 6642 and 6636

Related Least Common Multiples of 6636

Related Least Common Multiples of 6642

Frequently Asked Questions on LCM of 6636 and 6642

1. What is the LCM of 6636 and 6642?

Answer: LCM of 6636 and 6642 is 7346052.

2. What are the Factors of 6636?

Answer: Factors of 6636 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636. There are 24 integers that are factors of 6636. The greatest factor of 6636 is 6636.

3. 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.

4. How to Find the LCM of 6636 and 6642?

Answer:

Least Common Multiple of 6636 and 6642 = 7346052

Step 1: Find the prime factorization of 6636

6636 = 2 x 2 x 3 x 7 x 79

Step 2: Find the prime factorization of 6642

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

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

LCM = 7346052 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 41 x 79

Step 4: Therefore, the least common multiple of 6636 and 6642 is 7346052.