Least Common Multiple of 3608 and 3609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3608 and 3609 the smallest integer that is 13021272 that is divisible by both numbers.

Least Common Multiple (LCM) of 3608 and 3609 is 13021272.

LCM(3608,3609) = 13021272

LCM of 3608 and 3609

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

LCM of:
and

Least Common Multiple of 3608 and 3609

LCM of 3608 and 3609 is 13021272

Least common multiple can be found by multiplying the highest exponent prime factors of 3608 and 3609. First we will calculate the prime factors of 3608 and 3609.

Prime Factorization of 3608


2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 3608 are 2, 11,41. Prime factorization of 3608 in exponential form is:

3608 = 23×111×411

Prime Factorization of 3609


3 3609
3 1203
401 401
1

Prime factors of 3609 are 3,401. Prime factorization of 3609 in exponential form is:

3609 = 32×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 3608 and 3609.

LCM(3608,3609) = 23×32×111×411×4011
LCM(3608,3609) = 13021272

Factors of 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1, 3, 9, 401, 1203, 3609

Least Common Multiple of 3608 and 3609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3608 and 3609, than apply into the LCM equation.

GCF(3608,3609) = 1
LCM(3608,3609) = ( 3608 × 3609) / 1
LCM(3608,3609) = 13021272 / 1
LCM(3608,3609) = 13021272

Properties of LCM 3608 and 3609

(i) The LCM of 3609 and 3608 is associative

LCM of 3608 and 3609 = LCM of 3609 and 3608

Related Least Common Multiples of 3608

Related Least Common Multiples of 3609

Frequently Asked Questions on LCM of 3608 and 3609

1. What is the LCM of 3608 and 3609?

Answer: LCM of 3608 and 3609 is 13021272.

2. What are the Factors of 3608?

Answer: Factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. There are 16 integers that are factors of 3608. The greatest factor of 3608 is 3608.

3. What are the Factors of 3609?

Answer: Factors of 3609 are 1, 3, 9, 401, 1203, 3609. There are 6 integers that are factors of 3609. The greatest factor of 3609 is 3609.

4. How to Find the LCM of 3608 and 3609?

Answer:

Least Common Multiple of 3608 and 3609 = 13021272

Step 1: Find the prime factorization of 3608

3608 = 2 x 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 3609

3609 = 3 x 3 x 401

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

LCM = 13021272 = 2 x 2 x 2 x 3 x 3 x 11 x 41 x 401

Step 4: Therefore, the least common multiple of 3608 and 3609 is 13021272.