Least Common Multiple of 3661 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 3661 and 3665 the smallest integer that is 13417565 that is divisible by both numbers.

Least Common Multiple (LCM) of 3661 and 3665 is 13417565.

LCM(3661,3665) = 13417565

LCM of 3661 and 3665

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

LCM of:
and

Least Common Multiple of 3661 and 3665

LCM of 3661 and 3665 is 13417565

Least common multiple can be found by multiplying the highest exponent prime factors of 3661 and 3665. First we will calculate the prime factors of 3661 and 3665.

Prime Factorization of 3661


7 3661
523 523
1

Prime factors of 3661 are 7,523. Prime factorization of 3661 in exponential form is:

3661 = 71×5231

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 3661 and 3665.

LCM(3661,3665) = 51×71×5231×7331
LCM(3661,3665) = 13417565

Factors of 3661

List of positive integer factors of 3661 that divides 3661 without a remainder.

1, 7, 523, 3661

Factors of 3665

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

1, 5, 733, 3665

Least Common Multiple of 3661 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 3661 and 3665, than apply into the LCM equation.

GCF(3661,3665) = 1
LCM(3661,3665) = ( 3661 × 3665) / 1
LCM(3661,3665) = 13417565 / 1
LCM(3661,3665) = 13417565

Properties of LCM 3661 and 3665

(i) The LCM of 3665 and 3661 is associative

LCM of 3661 and 3665 = LCM of 3665 and 3661

Related Least Common Multiples of 3661

Related Least Common Multiples of 3665

Frequently Asked Questions on LCM of 3661 and 3665

1. What is the LCM of 3661 and 3665?

Answer: LCM of 3661 and 3665 is 13417565.

2. What are the Factors of 3661?

Answer: Factors of 3661 are 1, 7, 523, 3661. There are 4 integers that are factors of 3661. The greatest factor of 3661 is 3661.

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 3661 and 3665?

Answer:

Least Common Multiple of 3661 and 3665 = 13417565

Step 1: Find the prime factorization of 3661

3661 = 7 x 523

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 = 13417565 = 5 x 7 x 523 x 733

Step 4: Therefore, the least common multiple of 3661 and 3665 is 13417565.