Least Common Multiple of 6642 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 6642 and 6650 the smallest integer that is 22084650 that is divisible by both numbers.

Least Common Multiple (LCM) of 6642 and 6650 is 22084650.

LCM(6642,6650) = 22084650

LCM of 6642 and 6650

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

LCM of:
and

Least Common Multiple of 6642 and 6650

LCM of 6642 and 6650 is 22084650

Least common multiple can be found by multiplying the highest exponent prime factors of 6642 and 6650. First we will calculate the prime factors of 6642 and 6650.

Prime Factorization of 6642


2 6642
3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 6642 are 2, 3,41. Prime factorization of 6642 in exponential form is:

6642 = 21×34×411

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 6642 and 6650.

LCM(6642,6650) = 21×34×52×71×191×411
LCM(6642,6650) = 22084650

Factors of 6642

List of positive integer factors of 6642 that divides 6642 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642

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 6642 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 6642 and 6650, than apply into the LCM equation.

GCF(6642,6650) = 2
LCM(6642,6650) = ( 6642 × 6650) / 2
LCM(6642,6650) = 44169300 / 2
LCM(6642,6650) = 22084650

Properties of LCM 6642 and 6650

(i) The LCM of 6650 and 6642 is associative

LCM of 6642 and 6650 = LCM of 6650 and 6642

Related Least Common Multiples of 6642

Related Least Common Multiples of 6650

Frequently Asked Questions on LCM of 6642 and 6650

1. What is the LCM of 6642 and 6650?

Answer: LCM of 6642 and 6650 is 22084650.

2. What are the Factors of 6642?

Answer: Factors of 6642 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642. There are 20 integers that are factors of 6642. The greatest factor of 6642 is 6642.

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 6642 and 6650?

Answer:

Least Common Multiple of 6642 and 6650 = 22084650

Step 1: Find the prime factorization of 6642

6642 = 2 x 3 x 3 x 3 x 3 x 41

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 = 22084650 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 19 x 41

Step 4: Therefore, the least common multiple of 6642 and 6650 is 22084650.