Least Common Multiple of 3600 and 3608

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 3608 the smallest integer that is 1623600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3600 and 3608 is 1623600.

LCM(3600,3608) = 1623600

LCM of 3600 and 3608

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

LCM of:
and

Least Common Multiple of 3600 and 3608

LCM of 3600 and 3608 is 1623600

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3608. First we will calculate the prime factors of 3600 and 3608.

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 3608


2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 3608 are 2, 11,41. Prime factorization of 3608 in exponential form is:

3608 = 23×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3600 and 3608.

LCM(3600,3608) = 24×32×52×111×411
LCM(3600,3608) = 1623600

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 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608

Least Common Multiple of 3600 and 3608 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 3608, than apply into the LCM equation.

GCF(3600,3608) = 8
LCM(3600,3608) = ( 3600 × 3608) / 8
LCM(3600,3608) = 12988800 / 8
LCM(3600,3608) = 1623600

Properties of LCM 3600 and 3608

(i) The LCM of 3608 and 3600 is associative

LCM of 3600 and 3608 = LCM of 3608 and 3600

Related Least Common Multiples of 3600

Related Least Common Multiples of 3608

Frequently Asked Questions on LCM of 3600 and 3608

1. What is the LCM of 3600 and 3608?

Answer: LCM of 3600 and 3608 is 1623600.

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 3608?

Answer: Factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. There are 16 integers that are factors of 3608. The greatest factor of 3608 is 3608.

4. How to Find the LCM of 3600 and 3608?

Answer:

Least Common Multiple of 3600 and 3608 = 1623600

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 3608

3608 = 2 x 2 x 2 x 11 x 41

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

LCM = 1623600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 3600 and 3608 is 1623600.