Least Common Multiple of 6628 and 6630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6628 and 6630 the smallest integer that is 21971820 that is divisible by both numbers.

Least Common Multiple (LCM) of 6628 and 6630 is 21971820.

LCM(6628,6630) = 21971820

LCM of 6628 and 6630

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

LCM of:
and

Least Common Multiple of 6628 and 6630

LCM of 6628 and 6630 is 21971820

Least common multiple can be found by multiplying the highest exponent prime factors of 6628 and 6630. First we will calculate the prime factors of 6628 and 6630.

Prime Factorization of 6628


2 6628
2 3314
1657 1657
1

Prime factors of 6628 are 2,1657. Prime factorization of 6628 in exponential form is:

6628 = 22×16571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6628 and 6630.

LCM(6628,6630) = 22×31×51×131×171×16571
LCM(6628,6630) = 21971820

Factors of 6628

List of positive integer factors of 6628 that divides 6628 without a remainder.

1, 2, 4, 1657, 3314, 6628

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

Least Common Multiple of 6628 and 6630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6628 and 6630, than apply into the LCM equation.

GCF(6628,6630) = 2
LCM(6628,6630) = ( 6628 × 6630) / 2
LCM(6628,6630) = 43943640 / 2
LCM(6628,6630) = 21971820

Properties of LCM 6628 and 6630

(i) The LCM of 6630 and 6628 is associative

LCM of 6628 and 6630 = LCM of 6630 and 6628

Related Least Common Multiples of 6628

Related Least Common Multiples of 6630

Frequently Asked Questions on LCM of 6628 and 6630

1. What is the LCM of 6628 and 6630?

Answer: LCM of 6628 and 6630 is 21971820.

2. What are the Factors of 6628?

Answer: Factors of 6628 are 1, 2, 4, 1657, 3314, 6628. There are 6 integers that are factors of 6628. The greatest factor of 6628 is 6628.

3. 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.

4. How to Find the LCM of 6628 and 6630?

Answer:

Least Common Multiple of 6628 and 6630 = 21971820

Step 1: Find the prime factorization of 6628

6628 = 2 x 2 x 1657

Step 2: Find the prime factorization of 6630

6630 = 2 x 3 x 5 x 13 x 17

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

LCM = 21971820 = 2 x 2 x 3 x 5 x 13 x 17 x 1657

Step 4: Therefore, the least common multiple of 6628 and 6630 is 21971820.