Least Common Multiple of 3195 and 3199

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 3199 the smallest integer that is 10220805 that is divisible by both numbers.

Least Common Multiple (LCM) of 3195 and 3199 is 10220805.

LCM(3195,3199) = 10220805

LCM of 3195 and 3199

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

LCM of:
and

Least Common Multiple of 3195 and 3199

LCM of 3195 and 3199 is 10220805

Least common multiple can be found by multiplying the highest exponent prime factors of 3195 and 3199. First we will calculate the prime factors of 3195 and 3199.

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 3199


7 3199
457 457
1

Prime factors of 3199 are 7,457. Prime factorization of 3199 in exponential form is:

3199 = 71×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 3195 and 3199.

LCM(3195,3199) = 32×51×71×711×4571
LCM(3195,3199) = 10220805

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 3199

List of positive integer factors of 3199 that divides 3199 without a remainder.

1, 7, 457, 3199

Least Common Multiple of 3195 and 3199 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 3199, than apply into the LCM equation.

GCF(3195,3199) = 1
LCM(3195,3199) = ( 3195 × 3199) / 1
LCM(3195,3199) = 10220805 / 1
LCM(3195,3199) = 10220805

Properties of LCM 3195 and 3199

(i) The LCM of 3199 and 3195 is associative

LCM of 3195 and 3199 = LCM of 3199 and 3195

Related Least Common Multiples of 3195

Related Least Common Multiples of 3199

Frequently Asked Questions on LCM of 3195 and 3199

1. What is the LCM of 3195 and 3199?

Answer: LCM of 3195 and 3199 is 10220805.

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 3199?

Answer: Factors of 3199 are 1, 7, 457, 3199. There are 4 integers that are factors of 3199. The greatest factor of 3199 is 3199.

4. How to Find the LCM of 3195 and 3199?

Answer:

Least Common Multiple of 3195 and 3199 = 10220805

Step 1: Find the prime factorization of 3195

3195 = 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 3199

3199 = 7 x 457

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

LCM = 10220805 = 3 x 3 x 5 x 7 x 71 x 457

Step 4: Therefore, the least common multiple of 3195 and 3199 is 10220805.