Least Common Multiple of 3717 and 3719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3717 and 3719 the smallest integer that is 13823523 that is divisible by both numbers.

Least Common Multiple (LCM) of 3717 and 3719 is 13823523.

LCM(3717,3719) = 13823523

LCM of 3717 and 3719

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

LCM of:
and

Least Common Multiple of 3717 and 3719

LCM of 3717 and 3719 is 13823523

Least common multiple can be found by multiplying the highest exponent prime factors of 3717 and 3719. First we will calculate the prime factors of 3717 and 3719.

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

Prime Factorization of 3719


3719 3719
1

Prime factors of 3719 are 3719. Prime factorization of 3719 in exponential form is:

3719 = 37191

Now multiplying the highest exponent prime factors to calculate the LCM of 3717 and 3719.

LCM(3717,3719) = 32×71×591×37191
LCM(3717,3719) = 13823523

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

Factors of 3719

List of positive integer factors of 3719 that divides 3719 without a remainder.

1, 3719

Least Common Multiple of 3717 and 3719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3717 and 3719, than apply into the LCM equation.

GCF(3717,3719) = 1
LCM(3717,3719) = ( 3717 × 3719) / 1
LCM(3717,3719) = 13823523 / 1
LCM(3717,3719) = 13823523

Properties of LCM 3717 and 3719

(i) The LCM of 3719 and 3717 is associative

LCM of 3717 and 3719 = LCM of 3719 and 3717

Related Least Common Multiples of 3717

Related Least Common Multiples of 3719

Frequently Asked Questions on LCM of 3717 and 3719

1. What is the LCM of 3717 and 3719?

Answer: LCM of 3717 and 3719 is 13823523.

2. 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.

3. What are the Factors of 3719?

Answer: Factors of 3719 are 1, 3719. There are 2 integers that are factors of 3719. The greatest factor of 3719 is 3719.

4. How to Find the LCM of 3717 and 3719?

Answer:

Least Common Multiple of 3717 and 3719 = 13823523

Step 1: Find the prime factorization of 3717

3717 = 3 x 3 x 7 x 59

Step 2: Find the prime factorization of 3719

3719 = 3719

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

LCM = 13823523 = 3 x 3 x 7 x 59 x 3719

Step 4: Therefore, the least common multiple of 3717 and 3719 is 13823523.