Least Common Multiple of 3600 and 3603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3600 and 3603 the smallest integer that is 4323600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3600 and 3603 is 4323600.

LCM(3600,3603) = 4323600

LCM of 3600 and 3603

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

LCM of:
and

Least Common Multiple of 3600 and 3603

LCM of 3600 and 3603 is 4323600

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3603. First we will calculate the prime factors of 3600 and 3603.

Prime Factorization of 3600


2 3600
2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 3600 are 2, 3,5. Prime factorization of 3600 in exponential form is:

3600 = 24×32×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3600 and 3603.

LCM(3600,3603) = 24×32×52×12011
LCM(3600,3603) = 4323600

Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600

Factors of 3603

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

1, 3, 1201, 3603

Least Common Multiple of 3600 and 3603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3600 and 3603, than apply into the LCM equation.

GCF(3600,3603) = 3
LCM(3600,3603) = ( 3600 × 3603) / 3
LCM(3600,3603) = 12970800 / 3
LCM(3600,3603) = 4323600

Properties of LCM 3600 and 3603

(i) The LCM of 3603 and 3600 is associative

LCM of 3600 and 3603 = LCM of 3603 and 3600

Related Least Common Multiples of 3600

Related Least Common Multiples of 3603

Frequently Asked Questions on LCM of 3600 and 3603

1. What is the LCM of 3600 and 3603?

Answer: LCM of 3600 and 3603 is 4323600.

2. What are the Factors of 3600?

Answer: Factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600. There are 45 integers that are factors of 3600. The greatest factor of 3600 is 3600.

3. 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.

4. How to Find the LCM of 3600 and 3603?

Answer:

Least Common Multiple of 3600 and 3603 = 4323600

Step 1: Find the prime factorization of 3600

3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 3603

3603 = 3 x 1201

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

LCM = 4323600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 1201

Step 4: Therefore, the least common multiple of 3600 and 3603 is 4323600.