Least Common Multiple of 6630 and 6638

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 6638 the smallest integer that is 22004970 that is divisible by both numbers.

Least Common Multiple (LCM) of 6630 and 6638 is 22004970.

LCM(6630,6638) = 22004970

LCM of 6630 and 6638

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

LCM of:
and

Least Common Multiple of 6630 and 6638

LCM of 6630 and 6638 is 22004970

Least common multiple can be found by multiplying the highest exponent prime factors of 6630 and 6638. First we will calculate the prime factors of 6630 and 6638.

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 6638


2 6638
3319 3319
1

Prime factors of 6638 are 2,3319. Prime factorization of 6638 in exponential form is:

6638 = 21×33191

Now multiplying the highest exponent prime factors to calculate the LCM of 6630 and 6638.

LCM(6630,6638) = 21×31×51×131×171×33191
LCM(6630,6638) = 22004970

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 6638

List of positive integer factors of 6638 that divides 6638 without a remainder.

1, 2, 3319, 6638

Least Common Multiple of 6630 and 6638 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 6638, than apply into the LCM equation.

GCF(6630,6638) = 2
LCM(6630,6638) = ( 6630 × 6638) / 2
LCM(6630,6638) = 44009940 / 2
LCM(6630,6638) = 22004970

Properties of LCM 6630 and 6638

(i) The LCM of 6638 and 6630 is associative

LCM of 6630 and 6638 = LCM of 6638 and 6630

Related Least Common Multiples of 6630

Related Least Common Multiples of 6638

Frequently Asked Questions on LCM of 6630 and 6638

1. What is the LCM of 6630 and 6638?

Answer: LCM of 6630 and 6638 is 22004970.

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 6638?

Answer: Factors of 6638 are 1, 2, 3319, 6638. There are 4 integers that are factors of 6638. The greatest factor of 6638 is 6638.

4. How to Find the LCM of 6630 and 6638?

Answer:

Least Common Multiple of 6630 and 6638 = 22004970

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 6638

6638 = 2 x 3319

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

LCM = 22004970 = 2 x 3 x 5 x 13 x 17 x 3319

Step 4: Therefore, the least common multiple of 6630 and 6638 is 22004970.