Least Common Multiple of 3711 and 3717

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 3717 the smallest integer that is 4597929 that is divisible by both numbers.

Least Common Multiple (LCM) of 3711 and 3717 is 4597929.

LCM(3711,3717) = 4597929

LCM of 3711 and 3717

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

LCM of:
and

Least Common Multiple of 3711 and 3717

LCM of 3711 and 3717 is 4597929

Least common multiple can be found by multiplying the highest exponent prime factors of 3711 and 3717. First we will calculate the prime factors of 3711 and 3717.

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 3717


3 3717
3 1239
7 413
59 59
1

Prime factors of 3717 are 3, 7,59. Prime factorization of 3717 in exponential form is:

3717 = 32×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3711 and 3717.

LCM(3711,3717) = 32×71×591×12371
LCM(3711,3717) = 4597929

Factors of 3711

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

1, 3, 1237, 3711

Factors of 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717

Least Common Multiple of 3711 and 3717 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 3717, than apply into the LCM equation.

GCF(3711,3717) = 3
LCM(3711,3717) = ( 3711 × 3717) / 3
LCM(3711,3717) = 13793787 / 3
LCM(3711,3717) = 4597929

Properties of LCM 3711 and 3717

(i) The LCM of 3717 and 3711 is associative

LCM of 3711 and 3717 = LCM of 3717 and 3711

Related Least Common Multiples of 3711

Related Least Common Multiples of 3717

Frequently Asked Questions on LCM of 3711 and 3717

1. What is the LCM of 3711 and 3717?

Answer: LCM of 3711 and 3717 is 4597929.

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 3717?

Answer: Factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717. There are 12 integers that are factors of 3717. The greatest factor of 3717 is 3717.

4. How to Find the LCM of 3711 and 3717?

Answer:

Least Common Multiple of 3711 and 3717 = 4597929

Step 1: Find the prime factorization of 3711

3711 = 3 x 1237

Step 2: Find the prime factorization of 3717

3717 = 3 x 3 x 7 x 59

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

LCM = 4597929 = 3 x 3 x 7 x 59 x 1237

Step 4: Therefore, the least common multiple of 3711 and 3717 is 4597929.