Least Common Multiple of 6634 and 6640

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 6640 the smallest integer that is 22024880 that is divisible by both numbers.

Least Common Multiple (LCM) of 6634 and 6640 is 22024880.

LCM(6634,6640) = 22024880

LCM of 6634 and 6640

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

LCM of:
and

Least Common Multiple of 6634 and 6640

LCM of 6634 and 6640 is 22024880

Least common multiple can be found by multiplying the highest exponent prime factors of 6634 and 6640. First we will calculate the prime factors of 6634 and 6640.

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 6640


2 6640
2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 6640 are 2, 5,83. Prime factorization of 6640 in exponential form is:

6640 = 24×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6634 and 6640.

LCM(6634,6640) = 24×51×311×831×1071
LCM(6634,6640) = 22024880

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 6640

List of positive integer factors of 6640 that divides 6640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640

Least Common Multiple of 6634 and 6640 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 6640, than apply into the LCM equation.

GCF(6634,6640) = 2
LCM(6634,6640) = ( 6634 × 6640) / 2
LCM(6634,6640) = 44049760 / 2
LCM(6634,6640) = 22024880

Properties of LCM 6634 and 6640

(i) The LCM of 6640 and 6634 is associative

LCM of 6634 and 6640 = LCM of 6640 and 6634

Related Least Common Multiples of 6634

Related Least Common Multiples of 6640

Frequently Asked Questions on LCM of 6634 and 6640

1. What is the LCM of 6634 and 6640?

Answer: LCM of 6634 and 6640 is 22024880.

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 6640?

Answer: Factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640. There are 20 integers that are factors of 6640. The greatest factor of 6640 is 6640.

4. How to Find the LCM of 6634 and 6640?

Answer:

Least Common Multiple of 6634 and 6640 = 22024880

Step 1: Find the prime factorization of 6634

6634 = 2 x 31 x 107

Step 2: Find the prime factorization of 6640

6640 = 2 x 2 x 2 x 2 x 5 x 83

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

LCM = 22024880 = 2 x 2 x 2 x 2 x 5 x 31 x 83 x 107

Step 4: Therefore, the least common multiple of 6634 and 6640 is 22024880.