Least Common Multiple of 3703 and 3711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3703 and 3711 the smallest integer that is 13741833 that is divisible by both numbers.

Least Common Multiple (LCM) of 3703 and 3711 is 13741833.

LCM(3703,3711) = 13741833

LCM of 3703 and 3711

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

LCM of:
and

Least Common Multiple of 3703 and 3711

LCM of 3703 and 3711 is 13741833

Least common multiple can be found by multiplying the highest exponent prime factors of 3703 and 3711. First we will calculate the prime factors of 3703 and 3711.

Prime Factorization of 3703


7 3703
23 529
23 23
1

Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:

3703 = 71×232

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3703 and 3711.

LCM(3703,3711) = 31×71×232×12371
LCM(3703,3711) = 13741833

Factors of 3703

List of positive integer factors of 3703 that divides 3703 without a remainder.

1, 7, 23, 161, 529, 3703

Factors of 3711

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

1, 3, 1237, 3711

Least Common Multiple of 3703 and 3711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3703 and 3711, than apply into the LCM equation.

GCF(3703,3711) = 1
LCM(3703,3711) = ( 3703 × 3711) / 1
LCM(3703,3711) = 13741833 / 1
LCM(3703,3711) = 13741833

Properties of LCM 3703 and 3711

(i) The LCM of 3711 and 3703 is associative

LCM of 3703 and 3711 = LCM of 3711 and 3703

Related Least Common Multiples of 3703

Related Least Common Multiples of 3711

Frequently Asked Questions on LCM of 3703 and 3711

1. What is the LCM of 3703 and 3711?

Answer: LCM of 3703 and 3711 is 13741833.

2. What are the Factors of 3703?

Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.

3. 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.

4. How to Find the LCM of 3703 and 3711?

Answer:

Least Common Multiple of 3703 and 3711 = 13741833

Step 1: Find the prime factorization of 3703

3703 = 7 x 23 x 23

Step 2: Find the prime factorization of 3711

3711 = 3 x 1237

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

LCM = 13741833 = 3 x 7 x 23 x 23 x 1237

Step 4: Therefore, the least common multiple of 3703 and 3711 is 13741833.