Least Common Multiple of 3603 and 3605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3603 and 3605 the smallest integer that is 12988815 that is divisible by both numbers.

Least Common Multiple (LCM) of 3603 and 3605 is 12988815.

LCM(3603,3605) = 12988815

LCM of 3603 and 3605

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

LCM of:
and

Least Common Multiple of 3603 and 3605

LCM of 3603 and 3605 is 12988815

Least common multiple can be found by multiplying the highest exponent prime factors of 3603 and 3605. First we will calculate the prime factors of 3603 and 3605.

Prime Factorization of 3603


3 3603
1201 1201
1

Prime factors of 3603 are 3,1201. Prime factorization of 3603 in exponential form is:

3603 = 31×12011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3603 and 3605.

LCM(3603,3605) = 31×51×71×1031×12011
LCM(3603,3605) = 12988815

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1, 3, 1201, 3603

Factors of 3605

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

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

Least Common Multiple of 3603 and 3605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3603 and 3605, than apply into the LCM equation.

GCF(3603,3605) = 1
LCM(3603,3605) = ( 3603 × 3605) / 1
LCM(3603,3605) = 12988815 / 1
LCM(3603,3605) = 12988815

Properties of LCM 3603 and 3605

(i) The LCM of 3605 and 3603 is associative

LCM of 3603 and 3605 = LCM of 3605 and 3603

Related Least Common Multiples of 3603

Related Least Common Multiples of 3605

Frequently Asked Questions on LCM of 3603 and 3605

1. What is the LCM of 3603 and 3605?

Answer: LCM of 3603 and 3605 is 12988815.

2. What are the Factors of 3603?

Answer: Factors of 3603 are 1, 3, 1201, 3603. There are 4 integers that are factors of 3603. The greatest factor of 3603 is 3603.

3. 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.

4. How to Find the LCM of 3603 and 3605?

Answer:

Least Common Multiple of 3603 and 3605 = 12988815

Step 1: Find the prime factorization of 3603

3603 = 3 x 1201

Step 2: Find the prime factorization of 3605

3605 = 5 x 7 x 103

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

LCM = 12988815 = 3 x 5 x 7 x 103 x 1201

Step 4: Therefore, the least common multiple of 3603 and 3605 is 12988815.