Least Common Multiple of 3701 and 3703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3701 and 3703 the smallest integer that is 13704803 that is divisible by both numbers.

Least Common Multiple (LCM) of 3701 and 3703 is 13704803.

LCM(3701,3703) = 13704803

LCM of 3701 and 3703

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

LCM of:
and

Least Common Multiple of 3701 and 3703

LCM of 3701 and 3703 is 13704803

Least common multiple can be found by multiplying the highest exponent prime factors of 3701 and 3703. First we will calculate the prime factors of 3701 and 3703.

Prime Factorization of 3701


3701 3701
1

Prime factors of 3701 are 3701. Prime factorization of 3701 in exponential form is:

3701 = 37011

Prime Factorization of 3703


7 3703
23 529
23 23
1

Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:

3703 = 71×232

Now multiplying the highest exponent prime factors to calculate the LCM of 3701 and 3703.

LCM(3701,3703) = 71×232×37011
LCM(3701,3703) = 13704803

Factors of 3701

List of positive integer factors of 3701 that divides 3701 without a remainder.

1, 3701

Factors of 3703

List of positive integer factors of 3703 that divides 3703 without a remainder.

1, 7, 23, 161, 529, 3703

Least Common Multiple of 3701 and 3703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3701 and 3703, than apply into the LCM equation.

GCF(3701,3703) = 1
LCM(3701,3703) = ( 3701 × 3703) / 1
LCM(3701,3703) = 13704803 / 1
LCM(3701,3703) = 13704803

Properties of LCM 3701 and 3703

(i) The LCM of 3703 and 3701 is associative

LCM of 3701 and 3703 = LCM of 3703 and 3701

Related Least Common Multiples of 3701

Related Least Common Multiples of 3703

Frequently Asked Questions on LCM of 3701 and 3703

1. What is the LCM of 3701 and 3703?

Answer: LCM of 3701 and 3703 is 13704803.

2. What are the Factors of 3701?

Answer: Factors of 3701 are 1, 3701. There are 2 integers that are factors of 3701. The greatest factor of 3701 is 3701.

3. What are the Factors of 3703?

Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.

4. How to Find the LCM of 3701 and 3703?

Answer:

Least Common Multiple of 3701 and 3703 = 13704803

Step 1: Find the prime factorization of 3701

3701 = 3701

Step 2: Find the prime factorization of 3703

3703 = 7 x 23 x 23

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

LCM = 13704803 = 7 x 23 x 23 x 3701

Step 4: Therefore, the least common multiple of 3701 and 3703 is 13704803.