Least Common Multiple of 2702 and 2706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2702 and 2706 the smallest integer that is 3655806 that is divisible by both numbers.

Least Common Multiple (LCM) of 2702 and 2706 is 3655806.

LCM(2702,2706) = 3655806

LCM of 2702 and 2706

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

LCM of:
and

Least Common Multiple of 2702 and 2706

LCM of 2702 and 2706 is 3655806

Least common multiple can be found by multiplying the highest exponent prime factors of 2702 and 2706. First we will calculate the prime factors of 2702 and 2706.

Prime Factorization of 2702


2 2702
7 1351
193 193
1

Prime factors of 2702 are 2, 7,193. Prime factorization of 2702 in exponential form is:

2702 = 21×71×1931

Prime Factorization of 2706


2 2706
3 1353
11 451
41 41
1

Prime factors of 2706 are 2, 3, 11,41. Prime factorization of 2706 in exponential form is:

2706 = 21×31×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2702 and 2706.

LCM(2702,2706) = 21×31×71×111×411×1931
LCM(2702,2706) = 3655806

Factors of 2702

List of positive integer factors of 2702 that divides 2702 without a remainder.

1, 2, 7, 14, 193, 386, 1351, 2702

Factors of 2706

List of positive integer factors of 2706 that divides 2706 without a remainder.

1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706

Least Common Multiple of 2702 and 2706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2702 and 2706, than apply into the LCM equation.

GCF(2702,2706) = 2
LCM(2702,2706) = ( 2702 × 2706) / 2
LCM(2702,2706) = 7311612 / 2
LCM(2702,2706) = 3655806

Properties of LCM 2702 and 2706

(i) The LCM of 2706 and 2702 is associative

LCM of 2702 and 2706 = LCM of 2706 and 2702

Related Least Common Multiples of 2702

Related Least Common Multiples of 2706

Frequently Asked Questions on LCM of 2702 and 2706

1. What is the LCM of 2702 and 2706?

Answer: LCM of 2702 and 2706 is 3655806.

2. What are the Factors of 2702?

Answer: Factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702. There are 8 integers that are factors of 2702. The greatest factor of 2702 is 2702.

3. What are the Factors of 2706?

Answer: Factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706. There are 16 integers that are factors of 2706. The greatest factor of 2706 is 2706.

4. How to Find the LCM of 2702 and 2706?

Answer:

Least Common Multiple of 2702 and 2706 = 3655806

Step 1: Find the prime factorization of 2702

2702 = 2 x 7 x 193

Step 2: Find the prime factorization of 2706

2706 = 2 x 3 x 11 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 = 3655806 = 2 x 3 x 7 x 11 x 41 x 193

Step 4: Therefore, the least common multiple of 2702 and 2706 is 3655806.