Least Common Multiple of 3195 and 3198

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 3198 the smallest integer that is 3405870 that is divisible by both numbers.

Least Common Multiple (LCM) of 3195 and 3198 is 3405870.

LCM(3195,3198) = 3405870

LCM of 3195 and 3198

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

LCM of:
and

Least Common Multiple of 3195 and 3198

LCM of 3195 and 3198 is 3405870

Least common multiple can be found by multiplying the highest exponent prime factors of 3195 and 3198. First we will calculate the prime factors of 3195 and 3198.

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 3198


2 3198
3 1599
13 533
41 41
1

Prime factors of 3198 are 2, 3, 13,41. Prime factorization of 3198 in exponential form is:

3198 = 21×31×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3195 and 3198.

LCM(3195,3198) = 21×32×51×131×411×711
LCM(3195,3198) = 3405870

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 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198

Least Common Multiple of 3195 and 3198 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 3198, than apply into the LCM equation.

GCF(3195,3198) = 3
LCM(3195,3198) = ( 3195 × 3198) / 3
LCM(3195,3198) = 10217610 / 3
LCM(3195,3198) = 3405870

Properties of LCM 3195 and 3198

(i) The LCM of 3198 and 3195 is associative

LCM of 3195 and 3198 = LCM of 3198 and 3195

Related Least Common Multiples of 3195

Related Least Common Multiples of 3198

Frequently Asked Questions on LCM of 3195 and 3198

1. What is the LCM of 3195 and 3198?

Answer: LCM of 3195 and 3198 is 3405870.

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 3198?

Answer: Factors of 3198 are 1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198. There are 16 integers that are factors of 3198. The greatest factor of 3198 is 3198.

4. How to Find the LCM of 3195 and 3198?

Answer:

Least Common Multiple of 3195 and 3198 = 3405870

Step 1: Find the prime factorization of 3195

3195 = 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 3198

3198 = 2 x 3 x 13 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 = 3405870 = 2 x 3 x 3 x 5 x 13 x 41 x 71

Step 4: Therefore, the least common multiple of 3195 and 3198 is 3405870.