Least Common Multiple of 3706 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 3706 and 3709 the smallest integer that is 13745554 that is divisible by both numbers.

Least Common Multiple (LCM) of 3706 and 3709 is 13745554.

LCM(3706,3709) = 13745554

LCM of 3706 and 3709

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

LCM of:
and

Least Common Multiple of 3706 and 3709

LCM of 3706 and 3709 is 13745554

Least common multiple can be found by multiplying the highest exponent prime factors of 3706 and 3709. First we will calculate the prime factors of 3706 and 3709.

Prime Factorization of 3706


2 3706
17 1853
109 109
1

Prime factors of 3706 are 2, 17,109. Prime factorization of 3706 in exponential form is:

3706 = 21×171×1091

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 3706 and 3709.

LCM(3706,3709) = 21×171×1091×37091
LCM(3706,3709) = 13745554

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1, 2, 17, 34, 109, 218, 1853, 3706

Factors of 3709

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

1, 3709

Least Common Multiple of 3706 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 3706 and 3709, than apply into the LCM equation.

GCF(3706,3709) = 1
LCM(3706,3709) = ( 3706 × 3709) / 1
LCM(3706,3709) = 13745554 / 1
LCM(3706,3709) = 13745554

Properties of LCM 3706 and 3709

(i) The LCM of 3709 and 3706 is associative

LCM of 3706 and 3709 = LCM of 3709 and 3706

Related Least Common Multiples of 3706

Related Least Common Multiples of 3709

Frequently Asked Questions on LCM of 3706 and 3709

1. What is the LCM of 3706 and 3709?

Answer: LCM of 3706 and 3709 is 13745554.

2. What are the Factors of 3706?

Answer: Factors of 3706 are 1, 2, 17, 34, 109, 218, 1853, 3706. There are 8 integers that are factors of 3706. The greatest factor of 3706 is 3706.

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 3706 and 3709?

Answer:

Least Common Multiple of 3706 and 3709 = 13745554

Step 1: Find the prime factorization of 3706

3706 = 2 x 17 x 109

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 = 13745554 = 2 x 17 x 109 x 3709

Step 4: Therefore, the least common multiple of 3706 and 3709 is 13745554.