Least Common Multiple of 3711 and 3718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3711 and 3718 the smallest integer that is 13797498 that is divisible by both numbers.

Least Common Multiple (LCM) of 3711 and 3718 is 13797498.

LCM(3711,3718) = 13797498

LCM of 3711 and 3718

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

LCM of:
and

Least Common Multiple of 3711 and 3718

LCM of 3711 and 3718 is 13797498

Least common multiple can be found by multiplying the highest exponent prime factors of 3711 and 3718. First we will calculate the prime factors of 3711 and 3718.

Prime Factorization of 3711


3 3711
1237 1237
1

Prime factors of 3711 are 3,1237. Prime factorization of 3711 in exponential form is:

3711 = 31×12371

Prime Factorization of 3718


2 3718
11 1859
13 169
13 13
1

Prime factors of 3718 are 2, 11,13. Prime factorization of 3718 in exponential form is:

3718 = 21×111×132

Now multiplying the highest exponent prime factors to calculate the LCM of 3711 and 3718.

LCM(3711,3718) = 21×31×111×132×12371
LCM(3711,3718) = 13797498

Factors of 3711

List of positive integer factors of 3711 that divides 3711 without a remainder.

1, 3, 1237, 3711

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718

Least Common Multiple of 3711 and 3718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3711 and 3718, than apply into the LCM equation.

GCF(3711,3718) = 1
LCM(3711,3718) = ( 3711 × 3718) / 1
LCM(3711,3718) = 13797498 / 1
LCM(3711,3718) = 13797498

Properties of LCM 3711 and 3718

(i) The LCM of 3718 and 3711 is associative

LCM of 3711 and 3718 = LCM of 3718 and 3711

Related Least Common Multiples of 3711

Related Least Common Multiples of 3718

Frequently Asked Questions on LCM of 3711 and 3718

1. What is the LCM of 3711 and 3718?

Answer: LCM of 3711 and 3718 is 13797498.

2. What are the Factors of 3711?

Answer: Factors of 3711 are 1, 3, 1237, 3711. There are 4 integers that are factors of 3711. The greatest factor of 3711 is 3711.

3. What are the Factors of 3718?

Answer: Factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718. There are 12 integers that are factors of 3718. The greatest factor of 3718 is 3718.

4. How to Find the LCM of 3711 and 3718?

Answer:

Least Common Multiple of 3711 and 3718 = 13797498

Step 1: Find the prime factorization of 3711

3711 = 3 x 1237

Step 2: Find the prime factorization of 3718

3718 = 2 x 11 x 13 x 13

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

LCM = 13797498 = 2 x 3 x 11 x 13 x 13 x 1237

Step 4: Therefore, the least common multiple of 3711 and 3718 is 13797498.