Least Common Multiple of 6629 and 6636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6629 and 6636 the smallest integer that is 6284292 that is divisible by both numbers.

Least Common Multiple (LCM) of 6629 and 6636 is 6284292.

LCM(6629,6636) = 6284292

LCM of 6629 and 6636

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

LCM of:
and

Least Common Multiple of 6629 and 6636

LCM of 6629 and 6636 is 6284292

Least common multiple can be found by multiplying the highest exponent prime factors of 6629 and 6636. First we will calculate the prime factors of 6629 and 6636.

Prime Factorization of 6629


7 6629
947 947
1

Prime factors of 6629 are 7,947. Prime factorization of 6629 in exponential form is:

6629 = 71×9471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6629 and 6636.

LCM(6629,6636) = 22×31×71×791×9471
LCM(6629,6636) = 6284292

Factors of 6629

List of positive integer factors of 6629 that divides 6629 without a remainder.

1, 7, 947, 6629

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

Least Common Multiple of 6629 and 6636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6629 and 6636, than apply into the LCM equation.

GCF(6629,6636) = 7
LCM(6629,6636) = ( 6629 × 6636) / 7
LCM(6629,6636) = 43990044 / 7
LCM(6629,6636) = 6284292

Properties of LCM 6629 and 6636

(i) The LCM of 6636 and 6629 is associative

LCM of 6629 and 6636 = LCM of 6636 and 6629

Related Least Common Multiples of 6629

Related Least Common Multiples of 6636

Frequently Asked Questions on LCM of 6629 and 6636

1. What is the LCM of 6629 and 6636?

Answer: LCM of 6629 and 6636 is 6284292.

2. What are the Factors of 6629?

Answer: Factors of 6629 are 1, 7, 947, 6629. There are 4 integers that are factors of 6629. The greatest factor of 6629 is 6629.

3. 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.

4. How to Find the LCM of 6629 and 6636?

Answer:

Least Common Multiple of 6629 and 6636 = 6284292

Step 1: Find the prime factorization of 6629

6629 = 7 x 947

Step 2: Find the prime factorization of 6636

6636 = 2 x 2 x 3 x 7 x 79

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

LCM = 6284292 = 2 x 2 x 3 x 7 x 79 x 947

Step 4: Therefore, the least common multiple of 6629 and 6636 is 6284292.