Least Common Multiple of 3659 and 3663

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 3663 the smallest integer that is 13402917 that is divisible by both numbers.

Least Common Multiple (LCM) of 3659 and 3663 is 13402917.

LCM(3659,3663) = 13402917

LCM of 3659 and 3663

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

LCM of:
and

Least Common Multiple of 3659 and 3663

LCM of 3659 and 3663 is 13402917

Least common multiple can be found by multiplying the highest exponent prime factors of 3659 and 3663. First we will calculate the prime factors of 3659 and 3663.

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 3663


3 3663
3 1221
11 407
37 37
1

Prime factors of 3663 are 3, 11,37. Prime factorization of 3663 in exponential form is:

3663 = 32×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3659 and 3663.

LCM(3659,3663) = 32×111×371×36591
LCM(3659,3663) = 13402917

Factors of 3659

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

1, 3659

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663

Least Common Multiple of 3659 and 3663 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 3663, than apply into the LCM equation.

GCF(3659,3663) = 1
LCM(3659,3663) = ( 3659 × 3663) / 1
LCM(3659,3663) = 13402917 / 1
LCM(3659,3663) = 13402917

Properties of LCM 3659 and 3663

(i) The LCM of 3663 and 3659 is associative

LCM of 3659 and 3663 = LCM of 3663 and 3659

Related Least Common Multiples of 3659

Related Least Common Multiples of 3663

Frequently Asked Questions on LCM of 3659 and 3663

1. What is the LCM of 3659 and 3663?

Answer: LCM of 3659 and 3663 is 13402917.

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 3663?

Answer: Factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663. There are 12 integers that are factors of 3663. The greatest factor of 3663 is 3663.

4. How to Find the LCM of 3659 and 3663?

Answer:

Least Common Multiple of 3659 and 3663 = 13402917

Step 1: Find the prime factorization of 3659

3659 = 3659

Step 2: Find the prime factorization of 3663

3663 = 3 x 3 x 11 x 37

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

LCM = 13402917 = 3 x 3 x 11 x 37 x 3659

Step 4: Therefore, the least common multiple of 3659 and 3663 is 13402917.