Least Common Multiple of 3715 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 3715 and 3719 the smallest integer that is 13816085 that is divisible by both numbers.

Least Common Multiple (LCM) of 3715 and 3719 is 13816085.

LCM(3715,3719) = 13816085

LCM of 3715 and 3719

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

LCM of:
and

Least Common Multiple of 3715 and 3719

LCM of 3715 and 3719 is 13816085

Least common multiple can be found by multiplying the highest exponent prime factors of 3715 and 3719. First we will calculate the prime factors of 3715 and 3719.

Prime Factorization of 3715


5 3715
743 743
1

Prime factors of 3715 are 5,743. Prime factorization of 3715 in exponential form is:

3715 = 51×7431

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 3715 and 3719.

LCM(3715,3719) = 51×7431×37191
LCM(3715,3719) = 13816085

Factors of 3715

List of positive integer factors of 3715 that divides 3715 without a remainder.

1, 5, 743, 3715

Factors of 3719

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

1, 3719

Least Common Multiple of 3715 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 3715 and 3719, than apply into the LCM equation.

GCF(3715,3719) = 1
LCM(3715,3719) = ( 3715 × 3719) / 1
LCM(3715,3719) = 13816085 / 1
LCM(3715,3719) = 13816085

Properties of LCM 3715 and 3719

(i) The LCM of 3719 and 3715 is associative

LCM of 3715 and 3719 = LCM of 3719 and 3715

Related Least Common Multiples of 3715

Related Least Common Multiples of 3719

Frequently Asked Questions on LCM of 3715 and 3719

1. What is the LCM of 3715 and 3719?

Answer: LCM of 3715 and 3719 is 13816085.

2. What are the Factors of 3715?

Answer: Factors of 3715 are 1, 5, 743, 3715. There are 4 integers that are factors of 3715. The greatest factor of 3715 is 3715.

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 3715 and 3719?

Answer:

Least Common Multiple of 3715 and 3719 = 13816085

Step 1: Find the prime factorization of 3715

3715 = 5 x 743

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 = 13816085 = 5 x 743 x 3719

Step 4: Therefore, the least common multiple of 3715 and 3719 is 13816085.