Least Common Multiple of 3704 and 3709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3704 and 3709 the smallest integer that is 13738136 that is divisible by both numbers.

Least Common Multiple (LCM) of 3704 and 3709 is 13738136.

LCM(3704,3709) = 13738136

LCM of 3704 and 3709

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

LCM of:
and

Least Common Multiple of 3704 and 3709

LCM of 3704 and 3709 is 13738136

Least common multiple can be found by multiplying the highest exponent prime factors of 3704 and 3709. First we will calculate the prime factors of 3704 and 3709.

Prime Factorization of 3704


2 3704
2 1852
2 926
463 463
1

Prime factors of 3704 are 2,463. Prime factorization of 3704 in exponential form is:

3704 = 23×4631

Prime Factorization of 3709


3709 3709
1

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

3709 = 37091

Now multiplying the highest exponent prime factors to calculate the LCM of 3704 and 3709.

LCM(3704,3709) = 23×4631×37091
LCM(3704,3709) = 13738136

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1, 2, 4, 8, 463, 926, 1852, 3704

Factors of 3709

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

1, 3709

Least Common Multiple of 3704 and 3709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3704 and 3709, than apply into the LCM equation.

GCF(3704,3709) = 1
LCM(3704,3709) = ( 3704 × 3709) / 1
LCM(3704,3709) = 13738136 / 1
LCM(3704,3709) = 13738136

Properties of LCM 3704 and 3709

(i) The LCM of 3709 and 3704 is associative

LCM of 3704 and 3709 = LCM of 3709 and 3704

Related Least Common Multiples of 3704

Related Least Common Multiples of 3709

Frequently Asked Questions on LCM of 3704 and 3709

1. What is the LCM of 3704 and 3709?

Answer: LCM of 3704 and 3709 is 13738136.

2. What are the Factors of 3704?

Answer: Factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704. There are 8 integers that are factors of 3704. The greatest factor of 3704 is 3704.

3. 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.

4. How to Find the LCM of 3704 and 3709?

Answer:

Least Common Multiple of 3704 and 3709 = 13738136

Step 1: Find the prime factorization of 3704

3704 = 2 x 2 x 2 x 463

Step 2: Find the prime factorization of 3709

3709 = 3709

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

LCM = 13738136 = 2 x 2 x 2 x 463 x 3709

Step 4: Therefore, the least common multiple of 3704 and 3709 is 13738136.