Least Common Multiple of 3697 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 3697 and 3703 the smallest integer that is 13689991 that is divisible by both numbers.

Least Common Multiple (LCM) of 3697 and 3703 is 13689991.

LCM(3697,3703) = 13689991

LCM of 3697 and 3703

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

LCM of:
and

Least Common Multiple of 3697 and 3703

LCM of 3697 and 3703 is 13689991

Least common multiple can be found by multiplying the highest exponent prime factors of 3697 and 3703. First we will calculate the prime factors of 3697 and 3703.

Prime Factorization of 3697


3697 3697
1

Prime factors of 3697 are 3697. Prime factorization of 3697 in exponential form is:

3697 = 36971

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 3697 and 3703.

LCM(3697,3703) = 71×232×36971
LCM(3697,3703) = 13689991

Factors of 3697

List of positive integer factors of 3697 that divides 3697 without a remainder.

1, 3697

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 3697 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 3697 and 3703, than apply into the LCM equation.

GCF(3697,3703) = 1
LCM(3697,3703) = ( 3697 × 3703) / 1
LCM(3697,3703) = 13689991 / 1
LCM(3697,3703) = 13689991

Properties of LCM 3697 and 3703

(i) The LCM of 3703 and 3697 is associative

LCM of 3697 and 3703 = LCM of 3703 and 3697

Related Least Common Multiples of 3697

Related Least Common Multiples of 3703

Frequently Asked Questions on LCM of 3697 and 3703

1. What is the LCM of 3697 and 3703?

Answer: LCM of 3697 and 3703 is 13689991.

2. What are the Factors of 3697?

Answer: Factors of 3697 are 1, 3697. There are 2 integers that are factors of 3697. The greatest factor of 3697 is 3697.

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 3697 and 3703?

Answer:

Least Common Multiple of 3697 and 3703 = 13689991

Step 1: Find the prime factorization of 3697

3697 = 3697

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 = 13689991 = 7 x 23 x 23 x 3697

Step 4: Therefore, the least common multiple of 3697 and 3703 is 13689991.