Least Common Multiple of 3605 and 3608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3605 and 3608 the smallest integer that is 13006840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3605 and 3608 is 13006840.

LCM(3605,3608) = 13006840

LCM of 3605 and 3608

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

LCM of:
and

Least Common Multiple of 3605 and 3608

LCM of 3605 and 3608 is 13006840

Least common multiple can be found by multiplying the highest exponent prime factors of 3605 and 3608. First we will calculate the prime factors of 3605 and 3608.

Prime Factorization of 3605


5 3605
7 721
103 103
1

Prime factors of 3605 are 5, 7,103. Prime factorization of 3605 in exponential form is:

3605 = 51×71×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3605 and 3608.

LCM(3605,3608) = 23×51×71×111×411×1031
LCM(3605,3608) = 13006840

Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1, 5, 7, 35, 103, 515, 721, 3605

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

Least Common Multiple of 3605 and 3608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3605 and 3608, than apply into the LCM equation.

GCF(3605,3608) = 1
LCM(3605,3608) = ( 3605 × 3608) / 1
LCM(3605,3608) = 13006840 / 1
LCM(3605,3608) = 13006840

Properties of LCM 3605 and 3608

(i) The LCM of 3608 and 3605 is associative

LCM of 3605 and 3608 = LCM of 3608 and 3605

Related Least Common Multiples of 3605

Related Least Common Multiples of 3608

Frequently Asked Questions on LCM of 3605 and 3608

1. What is the LCM of 3605 and 3608?

Answer: LCM of 3605 and 3608 is 13006840.

2. What are the Factors of 3605?

Answer: Factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605. There are 8 integers that are factors of 3605. The greatest factor of 3605 is 3605.

3. 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.

4. How to Find the LCM of 3605 and 3608?

Answer:

Least Common Multiple of 3605 and 3608 = 13006840

Step 1: Find the prime factorization of 3605

3605 = 5 x 7 x 103

Step 2: Find the prime factorization of 3608

3608 = 2 x 2 x 2 x 11 x 41

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

LCM = 13006840 = 2 x 2 x 2 x 5 x 7 x 11 x 41 x 103

Step 4: Therefore, the least common multiple of 3605 and 3608 is 13006840.