Least Common Multiple of 6620 and 6622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6620 and 6622 the smallest integer that is 21918820 that is divisible by both numbers.

Least Common Multiple (LCM) of 6620 and 6622 is 21918820.

LCM(6620,6622) = 21918820

LCM of 6620 and 6622

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

LCM of:
and

Least Common Multiple of 6620 and 6622

LCM of 6620 and 6622 is 21918820

Least common multiple can be found by multiplying the highest exponent prime factors of 6620 and 6622. First we will calculate the prime factors of 6620 and 6622.

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

Prime Factorization of 6622


2 6622
7 3311
11 473
43 43
1

Prime factors of 6622 are 2, 7, 11,43. Prime factorization of 6622 in exponential form is:

6622 = 21×71×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6620 and 6622.

LCM(6620,6622) = 22×51×71×111×431×3311
LCM(6620,6622) = 21918820

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

Factors of 6622

List of positive integer factors of 6622 that divides 6622 without a remainder.

1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622

Least Common Multiple of 6620 and 6622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6620 and 6622, than apply into the LCM equation.

GCF(6620,6622) = 2
LCM(6620,6622) = ( 6620 × 6622) / 2
LCM(6620,6622) = 43837640 / 2
LCM(6620,6622) = 21918820

Properties of LCM 6620 and 6622

(i) The LCM of 6622 and 6620 is associative

LCM of 6620 and 6622 = LCM of 6622 and 6620

Related Least Common Multiples of 6620

Related Least Common Multiples of 6622

Frequently Asked Questions on LCM of 6620 and 6622

1. What is the LCM of 6620 and 6622?

Answer: LCM of 6620 and 6622 is 21918820.

2. 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.

3. What are the Factors of 6622?

Answer: Factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622. There are 16 integers that are factors of 6622. The greatest factor of 6622 is 6622.

4. How to Find the LCM of 6620 and 6622?

Answer:

Least Common Multiple of 6620 and 6622 = 21918820

Step 1: Find the prime factorization of 6620

6620 = 2 x 2 x 5 x 331

Step 2: Find the prime factorization of 6622

6622 = 2 x 7 x 11 x 43

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

LCM = 21918820 = 2 x 2 x 5 x 7 x 11 x 43 x 331

Step 4: Therefore, the least common multiple of 6620 and 6622 is 21918820.