Least Common Multiple of 6646 and 6650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6646 and 6650 the smallest integer that is 22097950 that is divisible by both numbers.

Least Common Multiple (LCM) of 6646 and 6650 is 22097950.

LCM(6646,6650) = 22097950

LCM of 6646 and 6650

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

LCM of:
and

Least Common Multiple of 6646 and 6650

LCM of 6646 and 6650 is 22097950

Least common multiple can be found by multiplying the highest exponent prime factors of 6646 and 6650. First we will calculate the prime factors of 6646 and 6650.

Prime Factorization of 6646


2 6646
3323 3323
1

Prime factors of 6646 are 2,3323. Prime factorization of 6646 in exponential form is:

6646 = 21×33231

Prime Factorization of 6650


2 6650
5 3325
5 665
7 133
19 19
1

Prime factors of 6650 are 2, 5, 7,19. Prime factorization of 6650 in exponential form is:

6650 = 21×52×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6646 and 6650.

LCM(6646,6650) = 21×52×71×191×33231
LCM(6646,6650) = 22097950

Factors of 6646

List of positive integer factors of 6646 that divides 6646 without a remainder.

1, 2, 3323, 6646

Factors of 6650

List of positive integer factors of 6650 that divides 6650 without a remainder.

1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650

Least Common Multiple of 6646 and 6650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6646 and 6650, than apply into the LCM equation.

GCF(6646,6650) = 2
LCM(6646,6650) = ( 6646 × 6650) / 2
LCM(6646,6650) = 44195900 / 2
LCM(6646,6650) = 22097950

Properties of LCM 6646 and 6650

(i) The LCM of 6650 and 6646 is associative

LCM of 6646 and 6650 = LCM of 6650 and 6646

Related Least Common Multiples of 6646

Related Least Common Multiples of 6650

Frequently Asked Questions on LCM of 6646 and 6650

1. What is the LCM of 6646 and 6650?

Answer: LCM of 6646 and 6650 is 22097950.

2. What are the Factors of 6646?

Answer: Factors of 6646 are 1, 2, 3323, 6646. There are 4 integers that are factors of 6646. The greatest factor of 6646 is 6646.

3. What are the Factors of 6650?

Answer: Factors of 6650 are 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650. There are 24 integers that are factors of 6650. The greatest factor of 6650 is 6650.

4. How to Find the LCM of 6646 and 6650?

Answer:

Least Common Multiple of 6646 and 6650 = 22097950

Step 1: Find the prime factorization of 6646

6646 = 2 x 3323

Step 2: Find the prime factorization of 6650

6650 = 2 x 5 x 5 x 7 x 19

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

LCM = 22097950 = 2 x 5 x 5 x 7 x 19 x 3323

Step 4: Therefore, the least common multiple of 6646 and 6650 is 22097950.