Least Common Multiple of 3709 and 3715

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 3715 the smallest integer that is 13778935 that is divisible by both numbers.

Least Common Multiple (LCM) of 3709 and 3715 is 13778935.

LCM(3709,3715) = 13778935

LCM of 3709 and 3715

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

LCM of:
and

Least Common Multiple of 3709 and 3715

LCM of 3709 and 3715 is 13778935

Least common multiple can be found by multiplying the highest exponent prime factors of 3709 and 3715. First we will calculate the prime factors of 3709 and 3715.

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 3715


5 3715
743 743
1

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

3715 = 51×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 3709 and 3715.

LCM(3709,3715) = 51×7431×37091
LCM(3709,3715) = 13778935

Factors of 3709

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

1, 3709

Factors of 3715

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

1, 5, 743, 3715

Least Common Multiple of 3709 and 3715 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 3715, than apply into the LCM equation.

GCF(3709,3715) = 1
LCM(3709,3715) = ( 3709 × 3715) / 1
LCM(3709,3715) = 13778935 / 1
LCM(3709,3715) = 13778935

Properties of LCM 3709 and 3715

(i) The LCM of 3715 and 3709 is associative

LCM of 3709 and 3715 = LCM of 3715 and 3709

Related Least Common Multiples of 3709

Related Least Common Multiples of 3715

Frequently Asked Questions on LCM of 3709 and 3715

1. What is the LCM of 3709 and 3715?

Answer: LCM of 3709 and 3715 is 13778935.

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 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.

4. How to Find the LCM of 3709 and 3715?

Answer:

Least Common Multiple of 3709 and 3715 = 13778935

Step 1: Find the prime factorization of 3709

3709 = 3709

Step 2: Find the prime factorization of 3715

3715 = 5 x 743

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

LCM = 13778935 = 5 x 743 x 3709

Step 4: Therefore, the least common multiple of 3709 and 3715 is 13778935.