Least Common Multiple of 3659 and 3661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3659 and 3661 the smallest integer that is 13395599 that is divisible by both numbers.

Least Common Multiple (LCM) of 3659 and 3661 is 13395599.

LCM(3659,3661) = 13395599

LCM of 3659 and 3661

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

LCM of:
and

Least Common Multiple of 3659 and 3661

LCM of 3659 and 3661 is 13395599

Least common multiple can be found by multiplying the highest exponent prime factors of 3659 and 3661. First we will calculate the prime factors of 3659 and 3661.

Prime Factorization of 3659


3659 3659
1

Prime factors of 3659 are 3659. Prime factorization of 3659 in exponential form is:

3659 = 36591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3659 and 3661.

LCM(3659,3661) = 71×5231×36591
LCM(3659,3661) = 13395599

Factors of 3659

List of positive integer factors of 3659 that divides 3659 without a remainder.

1, 3659

Factors of 3661

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

1, 7, 523, 3661

Least Common Multiple of 3659 and 3661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3659 and 3661, than apply into the LCM equation.

GCF(3659,3661) = 1
LCM(3659,3661) = ( 3659 × 3661) / 1
LCM(3659,3661) = 13395599 / 1
LCM(3659,3661) = 13395599

Properties of LCM 3659 and 3661

(i) The LCM of 3661 and 3659 is associative

LCM of 3659 and 3661 = LCM of 3661 and 3659

Related Least Common Multiples of 3659

Related Least Common Multiples of 3661

Frequently Asked Questions on LCM of 3659 and 3661

1. What is the LCM of 3659 and 3661?

Answer: LCM of 3659 and 3661 is 13395599.

2. What are the Factors of 3659?

Answer: Factors of 3659 are 1, 3659. There are 2 integers that are factors of 3659. The greatest factor of 3659 is 3659.

3. 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.

4. How to Find the LCM of 3659 and 3661?

Answer:

Least Common Multiple of 3659 and 3661 = 13395599

Step 1: Find the prime factorization of 3659

3659 = 3659

Step 2: Find the prime factorization of 3661

3661 = 7 x 523

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

LCM = 13395599 = 7 x 523 x 3659

Step 4: Therefore, the least common multiple of 3659 and 3661 is 13395599.