Least Common Multiple of 3195 and 3200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3195 and 3200 the smallest integer that is 2044800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3195 and 3200 is 2044800.

LCM(3195,3200) = 2044800

LCM of 3195 and 3200

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

LCM of:
and

Least Common Multiple of 3195 and 3200

LCM of 3195 and 3200 is 2044800

Least common multiple can be found by multiplying the highest exponent prime factors of 3195 and 3200. First we will calculate the prime factors of 3195 and 3200.

Prime Factorization of 3195


3 3195
3 1065
5 355
71 71
1

Prime factors of 3195 are 3, 5,71. Prime factorization of 3195 in exponential form is:

3195 = 32×51×711

Prime Factorization of 3200


2 3200
2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 3200 are 2,5. Prime factorization of 3200 in exponential form is:

3200 = 27×52

Now multiplying the highest exponent prime factors to calculate the LCM of 3195 and 3200.

LCM(3195,3200) = 27×32×52×711
LCM(3195,3200) = 2044800

Factors of 3195

List of positive integer factors of 3195 that divides 3195 without a remainder.

1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200

Least Common Multiple of 3195 and 3200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3195 and 3200, than apply into the LCM equation.

GCF(3195,3200) = 5
LCM(3195,3200) = ( 3195 × 3200) / 5
LCM(3195,3200) = 10224000 / 5
LCM(3195,3200) = 2044800

Properties of LCM 3195 and 3200

(i) The LCM of 3200 and 3195 is associative

LCM of 3195 and 3200 = LCM of 3200 and 3195

Related Least Common Multiples of 3195

Related Least Common Multiples of 3200

Frequently Asked Questions on LCM of 3195 and 3200

1. What is the LCM of 3195 and 3200?

Answer: LCM of 3195 and 3200 is 2044800.

2. What are the Factors of 3195?

Answer: Factors of 3195 are 1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195. There are 12 integers that are factors of 3195. The greatest factor of 3195 is 3195.

3. What are the Factors of 3200?

Answer: Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. There are 24 integers that are factors of 3200. The greatest factor of 3200 is 3200.

4. How to Find the LCM of 3195 and 3200?

Answer:

Least Common Multiple of 3195 and 3200 = 2044800

Step 1: Find the prime factorization of 3195

3195 = 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 3200

3200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 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 = 2044800 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 71

Step 4: Therefore, the least common multiple of 3195 and 3200 is 2044800.