Least Common Multiple of 3600 and 3602

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 3602 the smallest integer that is 6483600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3600 and 3602 is 6483600.

LCM(3600,3602) = 6483600

LCM of 3600 and 3602

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

LCM of:
and

Least Common Multiple of 3600 and 3602

LCM of 3600 and 3602 is 6483600

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3602. First we will calculate the prime factors of 3600 and 3602.

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 3602


2 3602
1801 1801
1

Prime factors of 3602 are 2,1801. Prime factorization of 3602 in exponential form is:

3602 = 21×18011

Now multiplying the highest exponent prime factors to calculate the LCM of 3600 and 3602.

LCM(3600,3602) = 24×32×52×18011
LCM(3600,3602) = 6483600

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 3602

List of positive integer factors of 3602 that divides 3602 without a remainder.

1, 2, 1801, 3602

Least Common Multiple of 3600 and 3602 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 3602, than apply into the LCM equation.

GCF(3600,3602) = 2
LCM(3600,3602) = ( 3600 × 3602) / 2
LCM(3600,3602) = 12967200 / 2
LCM(3600,3602) = 6483600

Properties of LCM 3600 and 3602

(i) The LCM of 3602 and 3600 is associative

LCM of 3600 and 3602 = LCM of 3602 and 3600

Related Least Common Multiples of 3600

Related Least Common Multiples of 3602

Frequently Asked Questions on LCM of 3600 and 3602

1. What is the LCM of 3600 and 3602?

Answer: LCM of 3600 and 3602 is 6483600.

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 3602?

Answer: Factors of 3602 are 1, 2, 1801, 3602. There are 4 integers that are factors of 3602. The greatest factor of 3602 is 3602.

4. How to Find the LCM of 3600 and 3602?

Answer:

Least Common Multiple of 3600 and 3602 = 6483600

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 3602

3602 = 2 x 1801

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

LCM = 6483600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 1801

Step 4: Therefore, the least common multiple of 3600 and 3602 is 6483600.