Least Common Multiple of 6612 and 6620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6612 and 6620 the smallest integer that is 10942860 that is divisible by both numbers.

Least Common Multiple (LCM) of 6612 and 6620 is 10942860.

LCM(6612,6620) = 10942860

LCM of 6612 and 6620

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

LCM of:
and

Least Common Multiple of 6612 and 6620

LCM of 6612 and 6620 is 10942860

Least common multiple can be found by multiplying the highest exponent prime factors of 6612 and 6620. First we will calculate the prime factors of 6612 and 6620.

Prime Factorization of 6612


2 6612
2 3306
3 1653
19 551
29 29
1

Prime factors of 6612 are 2, 3, 19,29. Prime factorization of 6612 in exponential form is:

6612 = 22×31×191×291

Prime Factorization of 6620


2 6620
2 3310
5 1655
331 331
1

Prime factors of 6620 are 2, 5,331. Prime factorization of 6620 in exponential form is:

6620 = 22×51×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 6612 and 6620.

LCM(6612,6620) = 22×31×51×191×291×3311
LCM(6612,6620) = 10942860

Factors of 6612

List of positive integer factors of 6612 that divides 6612 without a remainder.

1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612

Factors of 6620

List of positive integer factors of 6620 that divides 6620 without a remainder.

1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620

Least Common Multiple of 6612 and 6620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6612 and 6620, than apply into the LCM equation.

GCF(6612,6620) = 4
LCM(6612,6620) = ( 6612 × 6620) / 4
LCM(6612,6620) = 43771440 / 4
LCM(6612,6620) = 10942860

Properties of LCM 6612 and 6620

(i) The LCM of 6620 and 6612 is associative

LCM of 6612 and 6620 = LCM of 6620 and 6612

Related Least Common Multiples of 6612

Related Least Common Multiples of 6620

Frequently Asked Questions on LCM of 6612 and 6620

1. What is the LCM of 6612 and 6620?

Answer: LCM of 6612 and 6620 is 10942860.

2. What are the Factors of 6612?

Answer: Factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612. There are 24 integers that are factors of 6612. The greatest factor of 6612 is 6612.

3. What are the Factors of 6620?

Answer: Factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620. There are 12 integers that are factors of 6620. The greatest factor of 6620 is 6620.

4. How to Find the LCM of 6612 and 6620?

Answer:

Least Common Multiple of 6612 and 6620 = 10942860

Step 1: Find the prime factorization of 6612

6612 = 2 x 2 x 3 x 19 x 29

Step 2: Find the prime factorization of 6620

6620 = 2 x 2 x 5 x 331

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

LCM = 10942860 = 2 x 2 x 3 x 5 x 19 x 29 x 331

Step 4: Therefore, the least common multiple of 6612 and 6620 is 10942860.