Least Common Multiple of 3706 and 3707

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 3707 the smallest integer that is 13738142 that is divisible by both numbers.

Least Common Multiple (LCM) of 3706 and 3707 is 13738142.

LCM(3706,3707) = 13738142

LCM of 3706 and 3707

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

LCM of:
and

Least Common Multiple of 3706 and 3707

LCM of 3706 and 3707 is 13738142

Least common multiple can be found by multiplying the highest exponent prime factors of 3706 and 3707. First we will calculate the prime factors of 3706 and 3707.

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 3707


11 3707
337 337
1

Prime factors of 3707 are 11,337. Prime factorization of 3707 in exponential form is:

3707 = 111×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 3706 and 3707.

LCM(3706,3707) = 21×111×171×1091×3371
LCM(3706,3707) = 13738142

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 3707

List of positive integer factors of 3707 that divides 3707 without a remainder.

1, 11, 337, 3707

Least Common Multiple of 3706 and 3707 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 3707, than apply into the LCM equation.

GCF(3706,3707) = 1
LCM(3706,3707) = ( 3706 × 3707) / 1
LCM(3706,3707) = 13738142 / 1
LCM(3706,3707) = 13738142

Properties of LCM 3706 and 3707

(i) The LCM of 3707 and 3706 is associative

LCM of 3706 and 3707 = LCM of 3707 and 3706

Related Least Common Multiples of 3706

Related Least Common Multiples of 3707

Frequently Asked Questions on LCM of 3706 and 3707

1. What is the LCM of 3706 and 3707?

Answer: LCM of 3706 and 3707 is 13738142.

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 3707?

Answer: Factors of 3707 are 1, 11, 337, 3707. There are 4 integers that are factors of 3707. The greatest factor of 3707 is 3707.

4. How to Find the LCM of 3706 and 3707?

Answer:

Least Common Multiple of 3706 and 3707 = 13738142

Step 1: Find the prime factorization of 3706

3706 = 2 x 17 x 109

Step 2: Find the prime factorization of 3707

3707 = 11 x 337

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

LCM = 13738142 = 2 x 11 x 17 x 109 x 337

Step 4: Therefore, the least common multiple of 3706 and 3707 is 13738142.