Least Common Multiple of 3600 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 3600 and 3606 the smallest integer that is 2163600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3600 and 3606 is 2163600.

LCM(3600,3606) = 2163600

LCM of 3600 and 3606

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

LCM of:
and

Least Common Multiple of 3600 and 3606

LCM of 3600 and 3606 is 2163600

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3606. First we will calculate the prime factors of 3600 and 3606.

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 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 3600 and 3606.

LCM(3600,3606) = 24×32×52×6011
LCM(3600,3606) = 2163600

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 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 3600 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 3600 and 3606, than apply into the LCM equation.

GCF(3600,3606) = 6
LCM(3600,3606) = ( 3600 × 3606) / 6
LCM(3600,3606) = 12981600 / 6
LCM(3600,3606) = 2163600

Properties of LCM 3600 and 3606

(i) The LCM of 3606 and 3600 is associative

LCM of 3600 and 3606 = LCM of 3606 and 3600

Related Least Common Multiples of 3600

Related Least Common Multiples of 3606

Frequently Asked Questions on LCM of 3600 and 3606

1. What is the LCM of 3600 and 3606?

Answer: LCM of 3600 and 3606 is 2163600.

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 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 3600 and 3606?

Answer:

Least Common Multiple of 3600 and 3606 = 2163600

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 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 = 2163600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 601

Step 4: Therefore, the least common multiple of 3600 and 3606 is 2163600.