Least Common Multiple of 6631 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 6631 and 6636 the smallest integer that is 44003316 that is divisible by both numbers.

Least Common Multiple (LCM) of 6631 and 6636 is 44003316.

LCM(6631,6636) = 44003316

LCM of 6631 and 6636

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

LCM of:
and

Least Common Multiple of 6631 and 6636

LCM of 6631 and 6636 is 44003316

Least common multiple can be found by multiplying the highest exponent prime factors of 6631 and 6636. First we will calculate the prime factors of 6631 and 6636.

Prime Factorization of 6631


19 6631
349 349
1

Prime factors of 6631 are 19,349. Prime factorization of 6631 in exponential form is:

6631 = 191×3491

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 6631 and 6636.

LCM(6631,6636) = 22×31×71×191×791×3491
LCM(6631,6636) = 44003316

Factors of 6631

List of positive integer factors of 6631 that divides 6631 without a remainder.

1, 19, 349, 6631

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 6631 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 6631 and 6636, than apply into the LCM equation.

GCF(6631,6636) = 1
LCM(6631,6636) = ( 6631 × 6636) / 1
LCM(6631,6636) = 44003316 / 1
LCM(6631,6636) = 44003316

Properties of LCM 6631 and 6636

(i) The LCM of 6636 and 6631 is associative

LCM of 6631 and 6636 = LCM of 6636 and 6631

Related Least Common Multiples of 6631

Related Least Common Multiples of 6636

Frequently Asked Questions on LCM of 6631 and 6636

1. What is the LCM of 6631 and 6636?

Answer: LCM of 6631 and 6636 is 44003316.

2. What are the Factors of 6631?

Answer: Factors of 6631 are 1, 19, 349, 6631. There are 4 integers that are factors of 6631. The greatest factor of 6631 is 6631.

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 6631 and 6636?

Answer:

Least Common Multiple of 6631 and 6636 = 44003316

Step 1: Find the prime factorization of 6631

6631 = 19 x 349

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 = 44003316 = 2 x 2 x 3 x 7 x 19 x 79 x 349

Step 4: Therefore, the least common multiple of 6631 and 6636 is 44003316.