Least Common Multiple of 3716 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 3716 and 3721 the smallest integer that is 13827236 that is divisible by both numbers.

Least Common Multiple (LCM) of 3716 and 3721 is 13827236.

LCM(3716,3721) = 13827236

LCM of 3716 and 3721

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

LCM of:
and

Least Common Multiple of 3716 and 3721

LCM of 3716 and 3721 is 13827236

Least common multiple can be found by multiplying the highest exponent prime factors of 3716 and 3721. First we will calculate the prime factors of 3716 and 3721.

Prime Factorization of 3716


2 3716
2 1858
929 929
1

Prime factors of 3716 are 2,929. Prime factorization of 3716 in exponential form is:

3716 = 22×9291

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 3716 and 3721.

LCM(3716,3721) = 22×612×9291
LCM(3716,3721) = 13827236

Factors of 3716

List of positive integer factors of 3716 that divides 3716 without a remainder.

1, 2, 4, 929, 1858, 3716

Factors of 3721

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

1, 61, 3721

Least Common Multiple of 3716 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 3716 and 3721, than apply into the LCM equation.

GCF(3716,3721) = 1
LCM(3716,3721) = ( 3716 × 3721) / 1
LCM(3716,3721) = 13827236 / 1
LCM(3716,3721) = 13827236

Properties of LCM 3716 and 3721

(i) The LCM of 3721 and 3716 is associative

LCM of 3716 and 3721 = LCM of 3721 and 3716

Related Least Common Multiples of 3716

Related Least Common Multiples of 3721

Frequently Asked Questions on LCM of 3716 and 3721

1. What is the LCM of 3716 and 3721?

Answer: LCM of 3716 and 3721 is 13827236.

2. What are the Factors of 3716?

Answer: Factors of 3716 are 1, 2, 4, 929, 1858, 3716. There are 6 integers that are factors of 3716. The greatest factor of 3716 is 3716.

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 3716 and 3721?

Answer:

Least Common Multiple of 3716 and 3721 = 13827236

Step 1: Find the prime factorization of 3716

3716 = 2 x 2 x 929

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 = 13827236 = 2 x 2 x 61 x 61 x 929

Step 4: Therefore, the least common multiple of 3716 and 3721 is 13827236.