Least Common Multiple of 3715 and 3723

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 3723 the smallest integer that is 13830945 that is divisible by both numbers.

Least Common Multiple (LCM) of 3715 and 3723 is 13830945.

LCM(3715,3723) = 13830945

LCM of 3715 and 3723

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

LCM of:
and

Least Common Multiple of 3715 and 3723

LCM of 3715 and 3723 is 13830945

Least common multiple can be found by multiplying the highest exponent prime factors of 3715 and 3723. First we will calculate the prime factors of 3715 and 3723.

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 3723


3 3723
17 1241
73 73
1

Prime factors of 3723 are 3, 17,73. Prime factorization of 3723 in exponential form is:

3723 = 31×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3715 and 3723.

LCM(3715,3723) = 31×51×171×731×7431
LCM(3715,3723) = 13830945

Factors of 3715

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

1, 5, 743, 3715

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1, 3, 17, 51, 73, 219, 1241, 3723

Least Common Multiple of 3715 and 3723 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 3723, than apply into the LCM equation.

GCF(3715,3723) = 1
LCM(3715,3723) = ( 3715 × 3723) / 1
LCM(3715,3723) = 13830945 / 1
LCM(3715,3723) = 13830945

Properties of LCM 3715 and 3723

(i) The LCM of 3723 and 3715 is associative

LCM of 3715 and 3723 = LCM of 3723 and 3715

Related Least Common Multiples of 3715

Related Least Common Multiples of 3723

Frequently Asked Questions on LCM of 3715 and 3723

1. What is the LCM of 3715 and 3723?

Answer: LCM of 3715 and 3723 is 13830945.

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 3723?

Answer: Factors of 3723 are 1, 3, 17, 51, 73, 219, 1241, 3723. There are 8 integers that are factors of 3723. The greatest factor of 3723 is 3723.

4. How to Find the LCM of 3715 and 3723?

Answer:

Least Common Multiple of 3715 and 3723 = 13830945

Step 1: Find the prime factorization of 3715

3715 = 5 x 743

Step 2: Find the prime factorization of 3723

3723 = 3 x 17 x 73

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

LCM = 13830945 = 3 x 5 x 17 x 73 x 743

Step 4: Therefore, the least common multiple of 3715 and 3723 is 13830945.