Least Common Multiple of 2710 and 2718

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 2718 the smallest integer that is 3682890 that is divisible by both numbers.

Least Common Multiple (LCM) of 2710 and 2718 is 3682890.

LCM(2710,2718) = 3682890

LCM of 2710 and 2718

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

LCM of:
and

Least Common Multiple of 2710 and 2718

LCM of 2710 and 2718 is 3682890

Least common multiple can be found by multiplying the highest exponent prime factors of 2710 and 2718. First we will calculate the prime factors of 2710 and 2718.

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 2718


2 2718
3 1359
3 453
151 151
1

Prime factors of 2718 are 2, 3,151. Prime factorization of 2718 in exponential form is:

2718 = 21×32×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 2710 and 2718.

LCM(2710,2718) = 21×32×51×1511×2711
LCM(2710,2718) = 3682890

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 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718

Least Common Multiple of 2710 and 2718 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 2718, than apply into the LCM equation.

GCF(2710,2718) = 2
LCM(2710,2718) = ( 2710 × 2718) / 2
LCM(2710,2718) = 7365780 / 2
LCM(2710,2718) = 3682890

Properties of LCM 2710 and 2718

(i) The LCM of 2718 and 2710 is associative

LCM of 2710 and 2718 = LCM of 2718 and 2710

Related Least Common Multiples of 2710

Related Least Common Multiples of 2718

Frequently Asked Questions on LCM of 2710 and 2718

1. What is the LCM of 2710 and 2718?

Answer: LCM of 2710 and 2718 is 3682890.

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 2718?

Answer: Factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718. There are 12 integers that are factors of 2718. The greatest factor of 2718 is 2718.

4. How to Find the LCM of 2710 and 2718?

Answer:

Least Common Multiple of 2710 and 2718 = 3682890

Step 1: Find the prime factorization of 2710

2710 = 2 x 5 x 271

Step 2: Find the prime factorization of 2718

2718 = 2 x 3 x 3 x 151

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

LCM = 3682890 = 2 x 3 x 3 x 5 x 151 x 271

Step 4: Therefore, the least common multiple of 2710 and 2718 is 3682890.