Least Common Multiple of 3707 and 3714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3707 and 3714 the smallest integer that is 13767798 that is divisible by both numbers.

Least Common Multiple (LCM) of 3707 and 3714 is 13767798.

LCM(3707,3714) = 13767798

LCM of 3707 and 3714

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

LCM of:
and

Least Common Multiple of 3707 and 3714

LCM of 3707 and 3714 is 13767798

Least common multiple can be found by multiplying the highest exponent prime factors of 3707 and 3714. First we will calculate the prime factors of 3707 and 3714.

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

Prime Factorization of 3714


2 3714
3 1857
619 619
1

Prime factors of 3714 are 2, 3,619. Prime factorization of 3714 in exponential form is:

3714 = 21×31×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 3707 and 3714.

LCM(3707,3714) = 21×31×111×3371×6191
LCM(3707,3714) = 13767798

Factors of 3707

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

1, 11, 337, 3707

Factors of 3714

List of positive integer factors of 3714 that divides 3714 without a remainder.

1, 2, 3, 6, 619, 1238, 1857, 3714

Least Common Multiple of 3707 and 3714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3707 and 3714, than apply into the LCM equation.

GCF(3707,3714) = 1
LCM(3707,3714) = ( 3707 × 3714) / 1
LCM(3707,3714) = 13767798 / 1
LCM(3707,3714) = 13767798

Properties of LCM 3707 and 3714

(i) The LCM of 3714 and 3707 is associative

LCM of 3707 and 3714 = LCM of 3714 and 3707

Related Least Common Multiples of 3707

Related Least Common Multiples of 3714

Frequently Asked Questions on LCM of 3707 and 3714

1. What is the LCM of 3707 and 3714?

Answer: LCM of 3707 and 3714 is 13767798.

2. 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.

3. What are the Factors of 3714?

Answer: Factors of 3714 are 1, 2, 3, 6, 619, 1238, 1857, 3714. There are 8 integers that are factors of 3714. The greatest factor of 3714 is 3714.

4. How to Find the LCM of 3707 and 3714?

Answer:

Least Common Multiple of 3707 and 3714 = 13767798

Step 1: Find the prime factorization of 3707

3707 = 11 x 337

Step 2: Find the prime factorization of 3714

3714 = 2 x 3 x 619

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

LCM = 13767798 = 2 x 3 x 11 x 337 x 619

Step 4: Therefore, the least common multiple of 3707 and 3714 is 13767798.