Least Common Multiple of 6690 and 6695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6690 and 6695 the smallest integer that is 8957910 that is divisible by both numbers.

Least Common Multiple (LCM) of 6690 and 6695 is 8957910.

LCM(6690,6695) = 8957910

LCM of 6690 and 6695

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

LCM of:
and

Least Common Multiple of 6690 and 6695

LCM of 6690 and 6695 is 8957910

Least common multiple can be found by multiplying the highest exponent prime factors of 6690 and 6695. First we will calculate the prime factors of 6690 and 6695.

Prime Factorization of 6690


2 6690
3 3345
5 1115
223 223
1

Prime factors of 6690 are 2, 3, 5,223. Prime factorization of 6690 in exponential form is:

6690 = 21×31×51×2231

Prime Factorization of 6695


5 6695
13 1339
103 103
1

Prime factors of 6695 are 5, 13,103. Prime factorization of 6695 in exponential form is:

6695 = 51×131×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6690 and 6695.

LCM(6690,6695) = 21×31×51×131×1031×2231
LCM(6690,6695) = 8957910

Factors of 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690

Factors of 6695

List of positive integer factors of 6695 that divides 6695 without a remainder.

1, 5, 13, 65, 103, 515, 1339, 6695

Least Common Multiple of 6690 and 6695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6690 and 6695, than apply into the LCM equation.

GCF(6690,6695) = 5
LCM(6690,6695) = ( 6690 × 6695) / 5
LCM(6690,6695) = 44789550 / 5
LCM(6690,6695) = 8957910

Properties of LCM 6690 and 6695

(i) The LCM of 6695 and 6690 is associative

LCM of 6690 and 6695 = LCM of 6695 and 6690

Related Least Common Multiples of 6690

Related Least Common Multiples of 6695

Frequently Asked Questions on LCM of 6690 and 6695

1. What is the LCM of 6690 and 6695?

Answer: LCM of 6690 and 6695 is 8957910.

2. What are the Factors of 6690?

Answer: Factors of 6690 are 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690. There are 16 integers that are factors of 6690. The greatest factor of 6690 is 6690.

3. What are the Factors of 6695?

Answer: Factors of 6695 are 1, 5, 13, 65, 103, 515, 1339, 6695. There are 8 integers that are factors of 6695. The greatest factor of 6695 is 6695.

4. How to Find the LCM of 6690 and 6695?

Answer:

Least Common Multiple of 6690 and 6695 = 8957910

Step 1: Find the prime factorization of 6690

6690 = 2 x 3 x 5 x 223

Step 2: Find the prime factorization of 6695

6695 = 5 x 13 x 103

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

LCM = 8957910 = 2 x 3 x 5 x 13 x 103 x 223

Step 4: Therefore, the least common multiple of 6690 and 6695 is 8957910.