Least Common Multiple of 3661 and 3669

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 3669 the smallest integer that is 13432209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3661 and 3669 is 13432209.

LCM(3661,3669) = 13432209

LCM of 3661 and 3669

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

LCM of:
and

Least Common Multiple of 3661 and 3669

LCM of 3661 and 3669 is 13432209

Least common multiple can be found by multiplying the highest exponent prime factors of 3661 and 3669. First we will calculate the prime factors of 3661 and 3669.

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 3669


3 3669
1223 1223
1

Prime factors of 3669 are 3,1223. Prime factorization of 3669 in exponential form is:

3669 = 31×12231

Now multiplying the highest exponent prime factors to calculate the LCM of 3661 and 3669.

LCM(3661,3669) = 31×71×5231×12231
LCM(3661,3669) = 13432209

Factors of 3661

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

1, 7, 523, 3661

Factors of 3669

List of positive integer factors of 3669 that divides 3669 without a remainder.

1, 3, 1223, 3669

Least Common Multiple of 3661 and 3669 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 3669, than apply into the LCM equation.

GCF(3661,3669) = 1
LCM(3661,3669) = ( 3661 × 3669) / 1
LCM(3661,3669) = 13432209 / 1
LCM(3661,3669) = 13432209

Properties of LCM 3661 and 3669

(i) The LCM of 3669 and 3661 is associative

LCM of 3661 and 3669 = LCM of 3669 and 3661

Related Least Common Multiples of 3661

Related Least Common Multiples of 3669

Frequently Asked Questions on LCM of 3661 and 3669

1. What is the LCM of 3661 and 3669?

Answer: LCM of 3661 and 3669 is 13432209.

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 3669?

Answer: Factors of 3669 are 1, 3, 1223, 3669. There are 4 integers that are factors of 3669. The greatest factor of 3669 is 3669.

4. How to Find the LCM of 3661 and 3669?

Answer:

Least Common Multiple of 3661 and 3669 = 13432209

Step 1: Find the prime factorization of 3661

3661 = 7 x 523

Step 2: Find the prime factorization of 3669

3669 = 3 x 1223

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

LCM = 13432209 = 3 x 7 x 523 x 1223

Step 4: Therefore, the least common multiple of 3661 and 3669 is 13432209.