Least Common Multiple of 2702 and 2703

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 2703 the smallest integer that is 7303506 that is divisible by both numbers.

Least Common Multiple (LCM) of 2702 and 2703 is 7303506.

LCM(2702,2703) = 7303506

LCM of 2702 and 2703

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

LCM of:
and

Least Common Multiple of 2702 and 2703

LCM of 2702 and 2703 is 7303506

Least common multiple can be found by multiplying the highest exponent prime factors of 2702 and 2703. First we will calculate the prime factors of 2702 and 2703.

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 2703


3 2703
17 901
53 53
1

Prime factors of 2703 are 3, 17,53. Prime factorization of 2703 in exponential form is:

2703 = 31×171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2702 and 2703.

LCM(2702,2703) = 21×31×71×171×531×1931
LCM(2702,2703) = 7303506

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 2703

List of positive integer factors of 2703 that divides 2703 without a remainder.

1, 3, 17, 51, 53, 159, 901, 2703

Least Common Multiple of 2702 and 2703 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 2703, than apply into the LCM equation.

GCF(2702,2703) = 1
LCM(2702,2703) = ( 2702 × 2703) / 1
LCM(2702,2703) = 7303506 / 1
LCM(2702,2703) = 7303506

Properties of LCM 2702 and 2703

(i) The LCM of 2703 and 2702 is associative

LCM of 2702 and 2703 = LCM of 2703 and 2702

Related Least Common Multiples of 2702

Related Least Common Multiples of 2703

Frequently Asked Questions on LCM of 2702 and 2703

1. What is the LCM of 2702 and 2703?

Answer: LCM of 2702 and 2703 is 7303506.

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 2703?

Answer: Factors of 2703 are 1, 3, 17, 51, 53, 159, 901, 2703. There are 8 integers that are factors of 2703. The greatest factor of 2703 is 2703.

4. How to Find the LCM of 2702 and 2703?

Answer:

Least Common Multiple of 2702 and 2703 = 7303506

Step 1: Find the prime factorization of 2702

2702 = 2 x 7 x 193

Step 2: Find the prime factorization of 2703

2703 = 3 x 17 x 53

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

LCM = 7303506 = 2 x 3 x 7 x 17 x 53 x 193

Step 4: Therefore, the least common multiple of 2702 and 2703 is 7303506.