Least Common Multiple of 3697 and 3702

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 3702 the smallest integer that is 13686294 that is divisible by both numbers.

Least Common Multiple (LCM) of 3697 and 3702 is 13686294.

LCM(3697,3702) = 13686294

LCM of 3697 and 3702

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

LCM of:
and

Least Common Multiple of 3697 and 3702

LCM of 3697 and 3702 is 13686294

Least common multiple can be found by multiplying the highest exponent prime factors of 3697 and 3702. First we will calculate the prime factors of 3697 and 3702.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3697 and 3702.

LCM(3697,3702) = 21×31×6171×36971
LCM(3697,3702) = 13686294

Factors of 3697

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

1, 3697

Factors of 3702

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

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

Least Common Multiple of 3697 and 3702 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 3702, than apply into the LCM equation.

GCF(3697,3702) = 1
LCM(3697,3702) = ( 3697 × 3702) / 1
LCM(3697,3702) = 13686294 / 1
LCM(3697,3702) = 13686294

Properties of LCM 3697 and 3702

(i) The LCM of 3702 and 3697 is associative

LCM of 3697 and 3702 = LCM of 3702 and 3697

Related Least Common Multiples of 3697

Related Least Common Multiples of 3702

Frequently Asked Questions on LCM of 3697 and 3702

1. What is the LCM of 3697 and 3702?

Answer: LCM of 3697 and 3702 is 13686294.

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 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.

4. How to Find the LCM of 3697 and 3702?

Answer:

Least Common Multiple of 3697 and 3702 = 13686294

Step 1: Find the prime factorization of 3697

3697 = 3697

Step 2: Find the prime factorization of 3702

3702 = 2 x 3 x 617

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

LCM = 13686294 = 2 x 3 x 617 x 3697

Step 4: Therefore, the least common multiple of 3697 and 3702 is 13686294.