Least Common Multiple of 3600 and 3601

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 3601 the smallest integer that is 12963600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3600 and 3601 is 12963600.

LCM(3600,3601) = 12963600

LCM of 3600 and 3601

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

LCM of:
and

Least Common Multiple of 3600 and 3601

LCM of 3600 and 3601 is 12963600

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3601. First we will calculate the prime factors of 3600 and 3601.

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 3601


13 3601
277 277
1

Prime factors of 3601 are 13,277. Prime factorization of 3601 in exponential form is:

3601 = 131×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 3600 and 3601.

LCM(3600,3601) = 24×32×52×131×2771
LCM(3600,3601) = 12963600

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 3601

List of positive integer factors of 3601 that divides 3601 without a remainder.

1, 13, 277, 3601

Least Common Multiple of 3600 and 3601 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 3601, than apply into the LCM equation.

GCF(3600,3601) = 1
LCM(3600,3601) = ( 3600 × 3601) / 1
LCM(3600,3601) = 12963600 / 1
LCM(3600,3601) = 12963600

Properties of LCM 3600 and 3601

(i) The LCM of 3601 and 3600 is associative

LCM of 3600 and 3601 = LCM of 3601 and 3600

Related Least Common Multiples of 3600

Related Least Common Multiples of 3601

Frequently Asked Questions on LCM of 3600 and 3601

1. What is the LCM of 3600 and 3601?

Answer: LCM of 3600 and 3601 is 12963600.

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 3601?

Answer: Factors of 3601 are 1, 13, 277, 3601. There are 4 integers that are factors of 3601. The greatest factor of 3601 is 3601.

4. How to Find the LCM of 3600 and 3601?

Answer:

Least Common Multiple of 3600 and 3601 = 12963600

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 3601

3601 = 13 x 277

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

LCM = 12963600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 277

Step 4: Therefore, the least common multiple of 3600 and 3601 is 12963600.