Least Common Multiple of 2702 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 2702 and 2710 the smallest integer that is 3661210 that is divisible by both numbers.

Least Common Multiple (LCM) of 2702 and 2710 is 3661210.

LCM(2702,2710) = 3661210

LCM of 2702 and 2710

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

LCM of:
and

Least Common Multiple of 2702 and 2710

LCM of 2702 and 2710 is 3661210

Least common multiple can be found by multiplying the highest exponent prime factors of 2702 and 2710. First we will calculate the prime factors of 2702 and 2710.

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 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 2702 and 2710.

LCM(2702,2710) = 21×51×71×1931×2711
LCM(2702,2710) = 3661210

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 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 2702 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 2702 and 2710, than apply into the LCM equation.

GCF(2702,2710) = 2
LCM(2702,2710) = ( 2702 × 2710) / 2
LCM(2702,2710) = 7322420 / 2
LCM(2702,2710) = 3661210

Properties of LCM 2702 and 2710

(i) The LCM of 2710 and 2702 is associative

LCM of 2702 and 2710 = LCM of 2710 and 2702

Related Least Common Multiples of 2702

Related Least Common Multiples of 2710

Frequently Asked Questions on LCM of 2702 and 2710

1. What is the LCM of 2702 and 2710?

Answer: LCM of 2702 and 2710 is 3661210.

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 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 2702 and 2710?

Answer:

Least Common Multiple of 2702 and 2710 = 3661210

Step 1: Find the prime factorization of 2702

2702 = 2 x 7 x 193

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 = 3661210 = 2 x 5 x 7 x 193 x 271

Step 4: Therefore, the least common multiple of 2702 and 2710 is 3661210.