Least Common Multiple of 3705 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 3705 and 3707 the smallest integer that is 13734435 that is divisible by both numbers.

Least Common Multiple (LCM) of 3705 and 3707 is 13734435.

LCM(3705,3707) = 13734435

LCM of 3705 and 3707

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

LCM of:
and

Least Common Multiple of 3705 and 3707

LCM of 3705 and 3707 is 13734435

Least common multiple can be found by multiplying the highest exponent prime factors of 3705 and 3707. First we will calculate the prime factors of 3705 and 3707.

Prime Factorization of 3705


3 3705
5 1235
13 247
19 19
1

Prime factors of 3705 are 3, 5, 13,19. Prime factorization of 3705 in exponential form is:

3705 = 31×51×131×191

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 3705 and 3707.

LCM(3705,3707) = 31×51×111×131×191×3371
LCM(3705,3707) = 13734435

Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705

Factors of 3707

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

1, 11, 337, 3707

Least Common Multiple of 3705 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 3705 and 3707, than apply into the LCM equation.

GCF(3705,3707) = 1
LCM(3705,3707) = ( 3705 × 3707) / 1
LCM(3705,3707) = 13734435 / 1
LCM(3705,3707) = 13734435

Properties of LCM 3705 and 3707

(i) The LCM of 3707 and 3705 is associative

LCM of 3705 and 3707 = LCM of 3707 and 3705

Related Least Common Multiples of 3705

Related Least Common Multiples of 3707

Frequently Asked Questions on LCM of 3705 and 3707

1. What is the LCM of 3705 and 3707?

Answer: LCM of 3705 and 3707 is 13734435.

2. What are the Factors of 3705?

Answer: Factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705. There are 16 integers that are factors of 3705. The greatest factor of 3705 is 3705.

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 3705 and 3707?

Answer:

Least Common Multiple of 3705 and 3707 = 13734435

Step 1: Find the prime factorization of 3705

3705 = 3 x 5 x 13 x 19

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 = 13734435 = 3 x 5 x 11 x 13 x 19 x 337

Step 4: Therefore, the least common multiple of 3705 and 3707 is 13734435.