Least Common Multiple of 6634 and 6642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6634 and 6642 the smallest integer that is 22031514 that is divisible by both numbers.

Least Common Multiple (LCM) of 6634 and 6642 is 22031514.

LCM(6634,6642) = 22031514

LCM of 6634 and 6642

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

LCM of:
and

Least Common Multiple of 6634 and 6642

LCM of 6634 and 6642 is 22031514

Least common multiple can be found by multiplying the highest exponent prime factors of 6634 and 6642. First we will calculate the prime factors of 6634 and 6642.

Prime Factorization of 6634


2 6634
31 3317
107 107
1

Prime factors of 6634 are 2, 31,107. Prime factorization of 6634 in exponential form is:

6634 = 21×311×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6634 and 6642.

LCM(6634,6642) = 21×34×311×411×1071
LCM(6634,6642) = 22031514

Factors of 6634

List of positive integer factors of 6634 that divides 6634 without a remainder.

1, 2, 31, 62, 107, 214, 3317, 6634

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

Least Common Multiple of 6634 and 6642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6634 and 6642, than apply into the LCM equation.

GCF(6634,6642) = 2
LCM(6634,6642) = ( 6634 × 6642) / 2
LCM(6634,6642) = 44063028 / 2
LCM(6634,6642) = 22031514

Properties of LCM 6634 and 6642

(i) The LCM of 6642 and 6634 is associative

LCM of 6634 and 6642 = LCM of 6642 and 6634

Related Least Common Multiples of 6634

Related Least Common Multiples of 6642

Frequently Asked Questions on LCM of 6634 and 6642

1. What is the LCM of 6634 and 6642?

Answer: LCM of 6634 and 6642 is 22031514.

2. What are the Factors of 6634?

Answer: Factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634. There are 8 integers that are factors of 6634. The greatest factor of 6634 is 6634.

3. 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.

4. How to Find the LCM of 6634 and 6642?

Answer:

Least Common Multiple of 6634 and 6642 = 22031514

Step 1: Find the prime factorization of 6634

6634 = 2 x 31 x 107

Step 2: Find the prime factorization of 6642

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

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

LCM = 22031514 = 2 x 3 x 3 x 3 x 3 x 31 x 41 x 107

Step 4: Therefore, the least common multiple of 6634 and 6642 is 22031514.