Least Common Multiple of 6636 and 6643

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 6643 the smallest integer that is 6297564 that is divisible by both numbers.

Least Common Multiple (LCM) of 6636 and 6643 is 6297564.

LCM(6636,6643) = 6297564

LCM of 6636 and 6643

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

LCM of:
and

Least Common Multiple of 6636 and 6643

LCM of 6636 and 6643 is 6297564

Least common multiple can be found by multiplying the highest exponent prime factors of 6636 and 6643. First we will calculate the prime factors of 6636 and 6643.

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 6643


7 6643
13 949
73 73
1

Prime factors of 6643 are 7, 13,73. Prime factorization of 6643 in exponential form is:

6643 = 71×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6636 and 6643.

LCM(6636,6643) = 22×31×71×131×731×791
LCM(6636,6643) = 6297564

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 6643

List of positive integer factors of 6643 that divides 6643 without a remainder.

1, 7, 13, 73, 91, 511, 949, 6643

Least Common Multiple of 6636 and 6643 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 6643, than apply into the LCM equation.

GCF(6636,6643) = 7
LCM(6636,6643) = ( 6636 × 6643) / 7
LCM(6636,6643) = 44082948 / 7
LCM(6636,6643) = 6297564

Properties of LCM 6636 and 6643

(i) The LCM of 6643 and 6636 is associative

LCM of 6636 and 6643 = LCM of 6643 and 6636

Related Least Common Multiples of 6636

Related Least Common Multiples of 6643

Frequently Asked Questions on LCM of 6636 and 6643

1. What is the LCM of 6636 and 6643?

Answer: LCM of 6636 and 6643 is 6297564.

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 6643?

Answer: Factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643. There are 8 integers that are factors of 6643. The greatest factor of 6643 is 6643.

4. How to Find the LCM of 6636 and 6643?

Answer:

Least Common Multiple of 6636 and 6643 = 6297564

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 6643

6643 = 7 x 13 x 73

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

LCM = 6297564 = 2 x 2 x 3 x 7 x 13 x 73 x 79

Step 4: Therefore, the least common multiple of 6636 and 6643 is 6297564.