Least Common Multiple of 2703 and 2710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2703 and 2710 the smallest integer that is 7325130 that is divisible by both numbers.

Least Common Multiple (LCM) of 2703 and 2710 is 7325130.

LCM(2703,2710) = 7325130

LCM of 2703 and 2710

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

LCM of:
and

Least Common Multiple of 2703 and 2710

LCM of 2703 and 2710 is 7325130

Least common multiple can be found by multiplying the highest exponent prime factors of 2703 and 2710. First we will calculate the prime factors of 2703 and 2710.

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

Prime Factorization of 2710


2 2710
5 1355
271 271
1

Prime factors of 2710 are 2, 5,271. Prime factorization of 2710 in exponential form is:

2710 = 21×51×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2703 and 2710.

LCM(2703,2710) = 21×31×51×171×531×2711
LCM(2703,2710) = 7325130

Factors of 2703

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

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

Factors of 2710

List of positive integer factors of 2710 that divides 2710 without a remainder.

1, 2, 5, 10, 271, 542, 1355, 2710

Least Common Multiple of 2703 and 2710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2703 and 2710, than apply into the LCM equation.

GCF(2703,2710) = 1
LCM(2703,2710) = ( 2703 × 2710) / 1
LCM(2703,2710) = 7325130 / 1
LCM(2703,2710) = 7325130

Properties of LCM 2703 and 2710

(i) The LCM of 2710 and 2703 is associative

LCM of 2703 and 2710 = LCM of 2710 and 2703

Related Least Common Multiples of 2703

Related Least Common Multiples of 2710

Frequently Asked Questions on LCM of 2703 and 2710

1. What is the LCM of 2703 and 2710?

Answer: LCM of 2703 and 2710 is 7325130.

2. 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.

3. What are the Factors of 2710?

Answer: Factors of 2710 are 1, 2, 5, 10, 271, 542, 1355, 2710. There are 8 integers that are factors of 2710. The greatest factor of 2710 is 2710.

4. How to Find the LCM of 2703 and 2710?

Answer:

Least Common Multiple of 2703 and 2710 = 7325130

Step 1: Find the prime factorization of 2703

2703 = 3 x 17 x 53

Step 2: Find the prime factorization of 2710

2710 = 2 x 5 x 271

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

LCM = 7325130 = 2 x 3 x 5 x 17 x 53 x 271

Step 4: Therefore, the least common multiple of 2703 and 2710 is 7325130.