Least Common Multiple of 6685 and 6690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6685 and 6690 the smallest integer that is 8944530 that is divisible by both numbers.

Least Common Multiple (LCM) of 6685 and 6690 is 8944530.

LCM(6685,6690) = 8944530

LCM of 6685 and 6690

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

LCM of:
and

Least Common Multiple of 6685 and 6690

LCM of 6685 and 6690 is 8944530

Least common multiple can be found by multiplying the highest exponent prime factors of 6685 and 6690. First we will calculate the prime factors of 6685 and 6690.

Prime Factorization of 6685


5 6685
7 1337
191 191
1

Prime factors of 6685 are 5, 7,191. Prime factorization of 6685 in exponential form is:

6685 = 51×71×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6685 and 6690.

LCM(6685,6690) = 21×31×51×71×1911×2231
LCM(6685,6690) = 8944530

Factors of 6685

List of positive integer factors of 6685 that divides 6685 without a remainder.

1, 5, 7, 35, 191, 955, 1337, 6685

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

Least Common Multiple of 6685 and 6690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6685 and 6690, than apply into the LCM equation.

GCF(6685,6690) = 5
LCM(6685,6690) = ( 6685 × 6690) / 5
LCM(6685,6690) = 44722650 / 5
LCM(6685,6690) = 8944530

Properties of LCM 6685 and 6690

(i) The LCM of 6690 and 6685 is associative

LCM of 6685 and 6690 = LCM of 6690 and 6685

Related Least Common Multiples of 6685

Related Least Common Multiples of 6690

Frequently Asked Questions on LCM of 6685 and 6690

1. What is the LCM of 6685 and 6690?

Answer: LCM of 6685 and 6690 is 8944530.

2. What are the Factors of 6685?

Answer: Factors of 6685 are 1, 5, 7, 35, 191, 955, 1337, 6685. There are 8 integers that are factors of 6685. The greatest factor of 6685 is 6685.

3. 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.

4. How to Find the LCM of 6685 and 6690?

Answer:

Least Common Multiple of 6685 and 6690 = 8944530

Step 1: Find the prime factorization of 6685

6685 = 5 x 7 x 191

Step 2: Find the prime factorization of 6690

6690 = 2 x 3 x 5 x 223

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

LCM = 8944530 = 2 x 3 x 5 x 7 x 191 x 223

Step 4: Therefore, the least common multiple of 6685 and 6690 is 8944530.