Least Common Multiple of 3702 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 3702 and 3707 the smallest integer that is 13723314 that is divisible by both numbers.

Least Common Multiple (LCM) of 3702 and 3707 is 13723314.

LCM(3702,3707) = 13723314

LCM of 3702 and 3707

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

LCM of:
and

Least Common Multiple of 3702 and 3707

LCM of 3702 and 3707 is 13723314

Least common multiple can be found by multiplying the highest exponent prime factors of 3702 and 3707. First we will calculate the prime factors of 3702 and 3707.

Prime Factorization of 3702


2 3702
3 1851
617 617
1

Prime factors of 3702 are 2, 3,617. Prime factorization of 3702 in exponential form is:

3702 = 21×31×6171

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 3702 and 3707.

LCM(3702,3707) = 21×31×111×3371×6171
LCM(3702,3707) = 13723314

Factors of 3702

List of positive integer factors of 3702 that divides 3702 without a remainder.

1, 2, 3, 6, 617, 1234, 1851, 3702

Factors of 3707

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

1, 11, 337, 3707

Least Common Multiple of 3702 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 3702 and 3707, than apply into the LCM equation.

GCF(3702,3707) = 1
LCM(3702,3707) = ( 3702 × 3707) / 1
LCM(3702,3707) = 13723314 / 1
LCM(3702,3707) = 13723314

Properties of LCM 3702 and 3707

(i) The LCM of 3707 and 3702 is associative

LCM of 3702 and 3707 = LCM of 3707 and 3702

Related Least Common Multiples of 3702

Related Least Common Multiples of 3707

Frequently Asked Questions on LCM of 3702 and 3707

1. What is the LCM of 3702 and 3707?

Answer: LCM of 3702 and 3707 is 13723314.

2. What are the Factors of 3702?

Answer: Factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702. There are 8 integers that are factors of 3702. The greatest factor of 3702 is 3702.

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 3702 and 3707?

Answer:

Least Common Multiple of 3702 and 3707 = 13723314

Step 1: Find the prime factorization of 3702

3702 = 2 x 3 x 617

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 = 13723314 = 2 x 3 x 11 x 337 x 617

Step 4: Therefore, the least common multiple of 3702 and 3707 is 13723314.