Least Common Multiple of 6630 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 6630 and 6636 the smallest integer that is 7332780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6630 and 6636 is 7332780.

LCM(6630,6636) = 7332780

LCM of 6630 and 6636

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

LCM of:
and

Least Common Multiple of 6630 and 6636

LCM of 6630 and 6636 is 7332780

Least common multiple can be found by multiplying the highest exponent prime factors of 6630 and 6636. First we will calculate the prime factors of 6630 and 6636.

Prime Factorization of 6630


2 6630
3 3315
5 1105
13 221
17 17
1

Prime factors of 6630 are 2, 3, 5, 13,17. Prime factorization of 6630 in exponential form is:

6630 = 21×31×51×131×171

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 6630 and 6636.

LCM(6630,6636) = 22×31×51×71×131×171×791
LCM(6630,6636) = 7332780

Factors of 6630

List of positive integer factors of 6630 that divides 6630 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630

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 6630 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 6630 and 6636, than apply into the LCM equation.

GCF(6630,6636) = 6
LCM(6630,6636) = ( 6630 × 6636) / 6
LCM(6630,6636) = 43996680 / 6
LCM(6630,6636) = 7332780

Properties of LCM 6630 and 6636

(i) The LCM of 6636 and 6630 is associative

LCM of 6630 and 6636 = LCM of 6636 and 6630

Related Least Common Multiples of 6630

Related Least Common Multiples of 6636

Frequently Asked Questions on LCM of 6630 and 6636

1. What is the LCM of 6630 and 6636?

Answer: LCM of 6630 and 6636 is 7332780.

2. What are the Factors of 6630?

Answer: Factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630. There are 32 integers that are factors of 6630. The greatest factor of 6630 is 6630.

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 6630 and 6636?

Answer:

Least Common Multiple of 6630 and 6636 = 7332780

Step 1: Find the prime factorization of 6630

6630 = 2 x 3 x 5 x 13 x 17

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 = 7332780 = 2 x 2 x 3 x 5 x 7 x 13 x 17 x 79

Step 4: Therefore, the least common multiple of 6630 and 6636 is 7332780.