Least Common Multiple of 3657 and 3665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3657 and 3665 the smallest integer that is 13402905 that is divisible by both numbers.

Least Common Multiple (LCM) of 3657 and 3665 is 13402905.

LCM(3657,3665) = 13402905

LCM of 3657 and 3665

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

LCM of:
and

Least Common Multiple of 3657 and 3665

LCM of 3657 and 3665 is 13402905

Least common multiple can be found by multiplying the highest exponent prime factors of 3657 and 3665. First we will calculate the prime factors of 3657 and 3665.

Prime Factorization of 3657


3 3657
23 1219
53 53
1

Prime factors of 3657 are 3, 23,53. Prime factorization of 3657 in exponential form is:

3657 = 31×231×531

Prime Factorization of 3665


5 3665
733 733
1

Prime factors of 3665 are 5,733. Prime factorization of 3665 in exponential form is:

3665 = 51×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 3657 and 3665.

LCM(3657,3665) = 31×51×231×531×7331
LCM(3657,3665) = 13402905

Factors of 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1, 3, 23, 53, 69, 159, 1219, 3657

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1, 5, 733, 3665

Least Common Multiple of 3657 and 3665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3657 and 3665, than apply into the LCM equation.

GCF(3657,3665) = 1
LCM(3657,3665) = ( 3657 × 3665) / 1
LCM(3657,3665) = 13402905 / 1
LCM(3657,3665) = 13402905

Properties of LCM 3657 and 3665

(i) The LCM of 3665 and 3657 is associative

LCM of 3657 and 3665 = LCM of 3665 and 3657

Related Least Common Multiples of 3657

Related Least Common Multiples of 3665

Frequently Asked Questions on LCM of 3657 and 3665

1. What is the LCM of 3657 and 3665?

Answer: LCM of 3657 and 3665 is 13402905.

2. What are the Factors of 3657?

Answer: Factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657. There are 8 integers that are factors of 3657. The greatest factor of 3657 is 3657.

3. What are the Factors of 3665?

Answer: Factors of 3665 are 1, 5, 733, 3665. There are 4 integers that are factors of 3665. The greatest factor of 3665 is 3665.

4. How to Find the LCM of 3657 and 3665?

Answer:

Least Common Multiple of 3657 and 3665 = 13402905

Step 1: Find the prime factorization of 3657

3657 = 3 x 23 x 53

Step 2: Find the prime factorization of 3665

3665 = 5 x 733

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

LCM = 13402905 = 3 x 5 x 23 x 53 x 733

Step 4: Therefore, the least common multiple of 3657 and 3665 is 13402905.