Least Common Multiple of 3709 and 3716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3709 and 3716 the smallest integer that is 13782644 that is divisible by both numbers.

Least Common Multiple (LCM) of 3709 and 3716 is 13782644.

LCM(3709,3716) = 13782644

LCM of 3709 and 3716

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

LCM of:
and

Least Common Multiple of 3709 and 3716

LCM of 3709 and 3716 is 13782644

Least common multiple can be found by multiplying the highest exponent prime factors of 3709 and 3716. First we will calculate the prime factors of 3709 and 3716.

Prime Factorization of 3709


3709 3709
1

Prime factors of 3709 are 3709. Prime factorization of 3709 in exponential form is:

3709 = 37091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3709 and 3716.

LCM(3709,3716) = 22×9291×37091
LCM(3709,3716) = 13782644

Factors of 3709

List of positive integer factors of 3709 that divides 3709 without a remainder.

1, 3709

Factors of 3716

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

1, 2, 4, 929, 1858, 3716

Least Common Multiple of 3709 and 3716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3709 and 3716, than apply into the LCM equation.

GCF(3709,3716) = 1
LCM(3709,3716) = ( 3709 × 3716) / 1
LCM(3709,3716) = 13782644 / 1
LCM(3709,3716) = 13782644

Properties of LCM 3709 and 3716

(i) The LCM of 3716 and 3709 is associative

LCM of 3709 and 3716 = LCM of 3716 and 3709

Related Least Common Multiples of 3709

Related Least Common Multiples of 3716

Frequently Asked Questions on LCM of 3709 and 3716

1. What is the LCM of 3709 and 3716?

Answer: LCM of 3709 and 3716 is 13782644.

2. What are the Factors of 3709?

Answer: Factors of 3709 are 1, 3709. There are 2 integers that are factors of 3709. The greatest factor of 3709 is 3709.

3. 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.

4. How to Find the LCM of 3709 and 3716?

Answer:

Least Common Multiple of 3709 and 3716 = 13782644

Step 1: Find the prime factorization of 3709

3709 = 3709

Step 2: Find the prime factorization of 3716

3716 = 2 x 2 x 929

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

LCM = 13782644 = 2 x 2 x 929 x 3709

Step 4: Therefore, the least common multiple of 3709 and 3716 is 13782644.