Least Common Multiple of 2705 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 2705 and 2710 the smallest integer that is 1466110 that is divisible by both numbers.

Least Common Multiple (LCM) of 2705 and 2710 is 1466110.

LCM(2705,2710) = 1466110

LCM of 2705 and 2710

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

LCM of:
and

Least Common Multiple of 2705 and 2710

LCM of 2705 and 2710 is 1466110

Least common multiple can be found by multiplying the highest exponent prime factors of 2705 and 2710. First we will calculate the prime factors of 2705 and 2710.

Prime Factorization of 2705


5 2705
541 541
1

Prime factors of 2705 are 5,541. Prime factorization of 2705 in exponential form is:

2705 = 51×5411

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 2705 and 2710.

LCM(2705,2710) = 21×51×2711×5411
LCM(2705,2710) = 1466110

Factors of 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1, 5, 541, 2705

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 2705 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 2705 and 2710, than apply into the LCM equation.

GCF(2705,2710) = 5
LCM(2705,2710) = ( 2705 × 2710) / 5
LCM(2705,2710) = 7330550 / 5
LCM(2705,2710) = 1466110

Properties of LCM 2705 and 2710

(i) The LCM of 2710 and 2705 is associative

LCM of 2705 and 2710 = LCM of 2710 and 2705

Related Least Common Multiples of 2705

Related Least Common Multiples of 2710

Frequently Asked Questions on LCM of 2705 and 2710

1. What is the LCM of 2705 and 2710?

Answer: LCM of 2705 and 2710 is 1466110.

2. What are the Factors of 2705?

Answer: Factors of 2705 are 1, 5, 541, 2705. There are 4 integers that are factors of 2705. The greatest factor of 2705 is 2705.

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 2705 and 2710?

Answer:

Least Common Multiple of 2705 and 2710 = 1466110

Step 1: Find the prime factorization of 2705

2705 = 5 x 541

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 = 1466110 = 2 x 5 x 271 x 541

Step 4: Therefore, the least common multiple of 2705 and 2710 is 1466110.