Least Common Multiple of 2711 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 2711 and 2718 the smallest integer that is 7368498 that is divisible by both numbers.

Least Common Multiple (LCM) of 2711 and 2718 is 7368498.

LCM(2711,2718) = 7368498

LCM of 2711 and 2718

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

LCM of:
and

Least Common Multiple of 2711 and 2718

LCM of 2711 and 2718 is 7368498

Least common multiple can be found by multiplying the highest exponent prime factors of 2711 and 2718. First we will calculate the prime factors of 2711 and 2718.

Prime Factorization of 2711


2711 2711
1

Prime factors of 2711 are 2711. Prime factorization of 2711 in exponential form is:

2711 = 27111

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 2711 and 2718.

LCM(2711,2718) = 21×32×1511×27111
LCM(2711,2718) = 7368498

Factors of 2711

List of positive integer factors of 2711 that divides 2711 without a remainder.

1, 2711

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 2711 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 2711 and 2718, than apply into the LCM equation.

GCF(2711,2718) = 1
LCM(2711,2718) = ( 2711 × 2718) / 1
LCM(2711,2718) = 7368498 / 1
LCM(2711,2718) = 7368498

Properties of LCM 2711 and 2718

(i) The LCM of 2718 and 2711 is associative

LCM of 2711 and 2718 = LCM of 2718 and 2711

Related Least Common Multiples of 2711

Related Least Common Multiples of 2718

Frequently Asked Questions on LCM of 2711 and 2718

1. What is the LCM of 2711 and 2718?

Answer: LCM of 2711 and 2718 is 7368498.

2. What are the Factors of 2711?

Answer: Factors of 2711 are 1, 2711. There are 2 integers that are factors of 2711. The greatest factor of 2711 is 2711.

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 2711 and 2718?

Answer:

Least Common Multiple of 2711 and 2718 = 7368498

Step 1: Find the prime factorization of 2711

2711 = 2711

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 = 7368498 = 2 x 3 x 3 x 151 x 2711

Step 4: Therefore, the least common multiple of 2711 and 2718 is 7368498.