Least Common Multiple of 2710 and 2715

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 2715 the smallest integer that is 1471530 that is divisible by both numbers.

Least Common Multiple (LCM) of 2710 and 2715 is 1471530.

LCM(2710,2715) = 1471530

LCM of 2710 and 2715

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

LCM of:
and

Least Common Multiple of 2710 and 2715

LCM of 2710 and 2715 is 1471530

Least common multiple can be found by multiplying the highest exponent prime factors of 2710 and 2715. First we will calculate the prime factors of 2710 and 2715.

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 2715


3 2715
5 905
181 181
1

Prime factors of 2715 are 3, 5,181. Prime factorization of 2715 in exponential form is:

2715 = 31×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 2710 and 2715.

LCM(2710,2715) = 21×31×51×1811×2711
LCM(2710,2715) = 1471530

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 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1, 3, 5, 15, 181, 543, 905, 2715

Least Common Multiple of 2710 and 2715 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 2715, than apply into the LCM equation.

GCF(2710,2715) = 5
LCM(2710,2715) = ( 2710 × 2715) / 5
LCM(2710,2715) = 7357650 / 5
LCM(2710,2715) = 1471530

Properties of LCM 2710 and 2715

(i) The LCM of 2715 and 2710 is associative

LCM of 2710 and 2715 = LCM of 2715 and 2710

Related Least Common Multiples of 2710

Related Least Common Multiples of 2715

Frequently Asked Questions on LCM of 2710 and 2715

1. What is the LCM of 2710 and 2715?

Answer: LCM of 2710 and 2715 is 1471530.

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 2715?

Answer: Factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715. There are 8 integers that are factors of 2715. The greatest factor of 2715 is 2715.

4. How to Find the LCM of 2710 and 2715?

Answer:

Least Common Multiple of 2710 and 2715 = 1471530

Step 1: Find the prime factorization of 2710

2710 = 2 x 5 x 271

Step 2: Find the prime factorization of 2715

2715 = 3 x 5 x 181

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

LCM = 1471530 = 2 x 3 x 5 x 181 x 271

Step 4: Therefore, the least common multiple of 2710 and 2715 is 1471530.