Least Common Multiple of 3715 and 3721

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 3721 the smallest integer that is 13823515 that is divisible by both numbers.

Least Common Multiple (LCM) of 3715 and 3721 is 13823515.

LCM(3715,3721) = 13823515

LCM of 3715 and 3721

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

LCM of:
and

Least Common Multiple of 3715 and 3721

LCM of 3715 and 3721 is 13823515

Least common multiple can be found by multiplying the highest exponent prime factors of 3715 and 3721. First we will calculate the prime factors of 3715 and 3721.

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 3721


61 3721
61 61
1

Prime factors of 3721 are 61. Prime factorization of 3721 in exponential form is:

3721 = 612

Now multiplying the highest exponent prime factors to calculate the LCM of 3715 and 3721.

LCM(3715,3721) = 51×612×7431
LCM(3715,3721) = 13823515

Factors of 3715

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

1, 5, 743, 3715

Factors of 3721

List of positive integer factors of 3721 that divides 3721 without a remainder.

1, 61, 3721

Least Common Multiple of 3715 and 3721 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 3721, than apply into the LCM equation.

GCF(3715,3721) = 1
LCM(3715,3721) = ( 3715 × 3721) / 1
LCM(3715,3721) = 13823515 / 1
LCM(3715,3721) = 13823515

Properties of LCM 3715 and 3721

(i) The LCM of 3721 and 3715 is associative

LCM of 3715 and 3721 = LCM of 3721 and 3715

Related Least Common Multiples of 3715

Related Least Common Multiples of 3721

Frequently Asked Questions on LCM of 3715 and 3721

1. What is the LCM of 3715 and 3721?

Answer: LCM of 3715 and 3721 is 13823515.

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 3721?

Answer: Factors of 3721 are 1, 61, 3721. There are 3 integers that are factors of 3721. The greatest factor of 3721 is 3721.

4. How to Find the LCM of 3715 and 3721?

Answer:

Least Common Multiple of 3715 and 3721 = 13823515

Step 1: Find the prime factorization of 3715

3715 = 5 x 743

Step 2: Find the prime factorization of 3721

3721 = 61 x 61

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

LCM = 13823515 = 5 x 61 x 61 x 743

Step 4: Therefore, the least common multiple of 3715 and 3721 is 13823515.