Least Common Multiple of 3603 and 3606

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 3606 the smallest integer that is 4330806 that is divisible by both numbers.

Least Common Multiple (LCM) of 3603 and 3606 is 4330806.

LCM(3603,3606) = 4330806

LCM of 3603 and 3606

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

LCM of:
and

Least Common Multiple of 3603 and 3606

LCM of 3603 and 3606 is 4330806

Least common multiple can be found by multiplying the highest exponent prime factors of 3603 and 3606. First we will calculate the prime factors of 3603 and 3606.

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 3606


2 3606
3 1803
601 601
1

Prime factors of 3606 are 2, 3,601. Prime factorization of 3606 in exponential form is:

3606 = 21×31×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 3603 and 3606.

LCM(3603,3606) = 21×31×6011×12011
LCM(3603,3606) = 4330806

Factors of 3603

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

1, 3, 1201, 3603

Factors of 3606

List of positive integer factors of 3606 that divides 3606 without a remainder.

1, 2, 3, 6, 601, 1202, 1803, 3606

Least Common Multiple of 3603 and 3606 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 3606, than apply into the LCM equation.

GCF(3603,3606) = 3
LCM(3603,3606) = ( 3603 × 3606) / 3
LCM(3603,3606) = 12992418 / 3
LCM(3603,3606) = 4330806

Properties of LCM 3603 and 3606

(i) The LCM of 3606 and 3603 is associative

LCM of 3603 and 3606 = LCM of 3606 and 3603

Related Least Common Multiples of 3603

Related Least Common Multiples of 3606

Frequently Asked Questions on LCM of 3603 and 3606

1. What is the LCM of 3603 and 3606?

Answer: LCM of 3603 and 3606 is 4330806.

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 3606?

Answer: Factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606. There are 8 integers that are factors of 3606. The greatest factor of 3606 is 3606.

4. How to Find the LCM of 3603 and 3606?

Answer:

Least Common Multiple of 3603 and 3606 = 4330806

Step 1: Find the prime factorization of 3603

3603 = 3 x 1201

Step 2: Find the prime factorization of 3606

3606 = 2 x 3 x 601

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

LCM = 4330806 = 2 x 3 x 601 x 1201

Step 4: Therefore, the least common multiple of 3603 and 3606 is 4330806.