Least Common Multiple of 2710 and 2716

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 2716 the smallest integer that is 3680180 that is divisible by both numbers.

Least Common Multiple (LCM) of 2710 and 2716 is 3680180.

LCM(2710,2716) = 3680180

LCM of 2710 and 2716

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

LCM of:
and

Least Common Multiple of 2710 and 2716

LCM of 2710 and 2716 is 3680180

Least common multiple can be found by multiplying the highest exponent prime factors of 2710 and 2716. First we will calculate the prime factors of 2710 and 2716.

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 2716


2 2716
2 1358
7 679
97 97
1

Prime factors of 2716 are 2, 7,97. Prime factorization of 2716 in exponential form is:

2716 = 22×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2710 and 2716.

LCM(2710,2716) = 22×51×71×971×2711
LCM(2710,2716) = 3680180

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 2716

List of positive integer factors of 2716 that divides 2716 without a remainder.

1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716

Least Common Multiple of 2710 and 2716 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 2716, than apply into the LCM equation.

GCF(2710,2716) = 2
LCM(2710,2716) = ( 2710 × 2716) / 2
LCM(2710,2716) = 7360360 / 2
LCM(2710,2716) = 3680180

Properties of LCM 2710 and 2716

(i) The LCM of 2716 and 2710 is associative

LCM of 2710 and 2716 = LCM of 2716 and 2710

Related Least Common Multiples of 2710

Related Least Common Multiples of 2716

Frequently Asked Questions on LCM of 2710 and 2716

1. What is the LCM of 2710 and 2716?

Answer: LCM of 2710 and 2716 is 3680180.

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 2716?

Answer: Factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716. There are 12 integers that are factors of 2716. The greatest factor of 2716 is 2716.

4. How to Find the LCM of 2710 and 2716?

Answer:

Least Common Multiple of 2710 and 2716 = 3680180

Step 1: Find the prime factorization of 2710

2710 = 2 x 5 x 271

Step 2: Find the prime factorization of 2716

2716 = 2 x 2 x 7 x 97

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

LCM = 3680180 = 2 x 2 x 5 x 7 x 97 x 271

Step 4: Therefore, the least common multiple of 2710 and 2716 is 3680180.