Least Common Multiple of 2710 and 2714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2710 and 2714 the smallest integer that is 3677470 that is divisible by both numbers.

Least Common Multiple (LCM) of 2710 and 2714 is 3677470.

LCM(2710,2714) = 3677470

LCM of 2710 and 2714

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

LCM of:
and

Least Common Multiple of 2710 and 2714

LCM of 2710 and 2714 is 3677470

Least common multiple can be found by multiplying the highest exponent prime factors of 2710 and 2714. First we will calculate the prime factors of 2710 and 2714.

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

Prime Factorization of 2714


2 2714
23 1357
59 59
1

Prime factors of 2714 are 2, 23,59. Prime factorization of 2714 in exponential form is:

2714 = 21×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2710 and 2714.

LCM(2710,2714) = 21×51×231×591×2711
LCM(2710,2714) = 3677470

Factors of 2710

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

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

Factors of 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1, 2, 23, 46, 59, 118, 1357, 2714

Least Common Multiple of 2710 and 2714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2710 and 2714, than apply into the LCM equation.

GCF(2710,2714) = 2
LCM(2710,2714) = ( 2710 × 2714) / 2
LCM(2710,2714) = 7354940 / 2
LCM(2710,2714) = 3677470

Properties of LCM 2710 and 2714

(i) The LCM of 2714 and 2710 is associative

LCM of 2710 and 2714 = LCM of 2714 and 2710

Related Least Common Multiples of 2710

Related Least Common Multiples of 2714

Frequently Asked Questions on LCM of 2710 and 2714

1. What is the LCM of 2710 and 2714?

Answer: LCM of 2710 and 2714 is 3677470.

2. 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.

3. What are the Factors of 2714?

Answer: Factors of 2714 are 1, 2, 23, 46, 59, 118, 1357, 2714. There are 8 integers that are factors of 2714. The greatest factor of 2714 is 2714.

4. How to Find the LCM of 2710 and 2714?

Answer:

Least Common Multiple of 2710 and 2714 = 3677470

Step 1: Find the prime factorization of 2710

2710 = 2 x 5 x 271

Step 2: Find the prime factorization of 2714

2714 = 2 x 23 x 59

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

LCM = 3677470 = 2 x 5 x 23 x 59 x 271

Step 4: Therefore, the least common multiple of 2710 and 2714 is 3677470.