Least Common Multiple of 6702 and 6706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6702 and 6706 the smallest integer that is 22471806 that is divisible by both numbers.

Least Common Multiple (LCM) of 6702 and 6706 is 22471806.

LCM(6702,6706) = 22471806

LCM of 6702 and 6706

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

LCM of:
and

Least Common Multiple of 6702 and 6706

LCM of 6702 and 6706 is 22471806

Least common multiple can be found by multiplying the highest exponent prime factors of 6702 and 6706. First we will calculate the prime factors of 6702 and 6706.

Prime Factorization of 6702


2 6702
3 3351
1117 1117
1

Prime factors of 6702 are 2, 3,1117. Prime factorization of 6702 in exponential form is:

6702 = 21×31×11171

Prime Factorization of 6706


2 6706
7 3353
479 479
1

Prime factors of 6706 are 2, 7,479. Prime factorization of 6706 in exponential form is:

6706 = 21×71×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 6702 and 6706.

LCM(6702,6706) = 21×31×71×4791×11171
LCM(6702,6706) = 22471806

Factors of 6702

List of positive integer factors of 6702 that divides 6702 without a remainder.

1, 2, 3, 6, 1117, 2234, 3351, 6702

Factors of 6706

List of positive integer factors of 6706 that divides 6706 without a remainder.

1, 2, 7, 14, 479, 958, 3353, 6706

Least Common Multiple of 6702 and 6706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6702 and 6706, than apply into the LCM equation.

GCF(6702,6706) = 2
LCM(6702,6706) = ( 6702 × 6706) / 2
LCM(6702,6706) = 44943612 / 2
LCM(6702,6706) = 22471806

Properties of LCM 6702 and 6706

(i) The LCM of 6706 and 6702 is associative

LCM of 6702 and 6706 = LCM of 6706 and 6702

Related Least Common Multiples of 6702

Related Least Common Multiples of 6706

Frequently Asked Questions on LCM of 6702 and 6706

1. What is the LCM of 6702 and 6706?

Answer: LCM of 6702 and 6706 is 22471806.

2. What are the Factors of 6702?

Answer: Factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702. There are 8 integers that are factors of 6702. The greatest factor of 6702 is 6702.

3. What are the Factors of 6706?

Answer: Factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706. There are 8 integers that are factors of 6706. The greatest factor of 6706 is 6706.

4. How to Find the LCM of 6702 and 6706?

Answer:

Least Common Multiple of 6702 and 6706 = 22471806

Step 1: Find the prime factorization of 6702

6702 = 2 x 3 x 1117

Step 2: Find the prime factorization of 6706

6706 = 2 x 7 x 479

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

LCM = 22471806 = 2 x 3 x 7 x 479 x 1117

Step 4: Therefore, the least common multiple of 6702 and 6706 is 22471806.