Least Common Multiple of 3592 and 3600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3592 and 3600 the smallest integer that is 1616400 that is divisible by both numbers.

Least Common Multiple (LCM) of 3592 and 3600 is 1616400.

LCM(3592,3600) = 1616400

LCM of 3592 and 3600

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

LCM of:
and

Least Common Multiple of 3592 and 3600

LCM of 3592 and 3600 is 1616400

Least common multiple can be found by multiplying the highest exponent prime factors of 3592 and 3600. First we will calculate the prime factors of 3592 and 3600.

Prime Factorization of 3592


2 3592
2 1796
2 898
449 449
1

Prime factors of 3592 are 2,449. Prime factorization of 3592 in exponential form is:

3592 = 23×4491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3592 and 3600.

LCM(3592,3600) = 24×32×52×4491
LCM(3592,3600) = 1616400

Factors of 3592

List of positive integer factors of 3592 that divides 3592 without a remainder.

1, 2, 4, 8, 449, 898, 1796, 3592

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

Least Common Multiple of 3592 and 3600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3592 and 3600, than apply into the LCM equation.

GCF(3592,3600) = 8
LCM(3592,3600) = ( 3592 × 3600) / 8
LCM(3592,3600) = 12931200 / 8
LCM(3592,3600) = 1616400

Properties of LCM 3592 and 3600

(i) The LCM of 3600 and 3592 is associative

LCM of 3592 and 3600 = LCM of 3600 and 3592

Related Least Common Multiples of 3592

Related Least Common Multiples of 3600

Frequently Asked Questions on LCM of 3592 and 3600

1. What is the LCM of 3592 and 3600?

Answer: LCM of 3592 and 3600 is 1616400.

2. What are the Factors of 3592?

Answer: Factors of 3592 are 1, 2, 4, 8, 449, 898, 1796, 3592. There are 8 integers that are factors of 3592. The greatest factor of 3592 is 3592.

3. 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.

4. How to Find the LCM of 3592 and 3600?

Answer:

Least Common Multiple of 3592 and 3600 = 1616400

Step 1: Find the prime factorization of 3592

3592 = 2 x 2 x 2 x 449

Step 2: Find the prime factorization of 3600

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

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

LCM = 1616400 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 449

Step 4: Therefore, the least common multiple of 3592 and 3600 is 1616400.