Least Common Multiple of 3181 and 3185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3181 and 3185 the smallest integer that is 10131485 that is divisible by both numbers.

Least Common Multiple (LCM) of 3181 and 3185 is 10131485.

LCM(3181,3185) = 10131485

LCM of 3181 and 3185

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

LCM of:
and

Least Common Multiple of 3181 and 3185

LCM of 3181 and 3185 is 10131485

Least common multiple can be found by multiplying the highest exponent prime factors of 3181 and 3185. First we will calculate the prime factors of 3181 and 3185.

Prime Factorization of 3181


3181 3181
1

Prime factors of 3181 are 3181. Prime factorization of 3181 in exponential form is:

3181 = 31811

Prime Factorization of 3185


5 3185
7 637
7 91
13 13
1

Prime factors of 3185 are 5, 7,13. Prime factorization of 3185 in exponential form is:

3185 = 51×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3181 and 3185.

LCM(3181,3185) = 51×72×131×31811
LCM(3181,3185) = 10131485

Factors of 3181

List of positive integer factors of 3181 that divides 3181 without a remainder.

1, 3181

Factors of 3185

List of positive integer factors of 3185 that divides 3185 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185

Least Common Multiple of 3181 and 3185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3181 and 3185, than apply into the LCM equation.

GCF(3181,3185) = 1
LCM(3181,3185) = ( 3181 × 3185) / 1
LCM(3181,3185) = 10131485 / 1
LCM(3181,3185) = 10131485

Properties of LCM 3181 and 3185

(i) The LCM of 3185 and 3181 is associative

LCM of 3181 and 3185 = LCM of 3185 and 3181

Related Least Common Multiples of 3181

Related Least Common Multiples of 3185

Frequently Asked Questions on LCM of 3181 and 3185

1. What is the LCM of 3181 and 3185?

Answer: LCM of 3181 and 3185 is 10131485.

2. What are the Factors of 3181?

Answer: Factors of 3181 are 1, 3181. There are 2 integers that are factors of 3181. The greatest factor of 3181 is 3181.

3. What are the Factors of 3185?

Answer: Factors of 3185 are 1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185. There are 12 integers that are factors of 3185. The greatest factor of 3185 is 3185.

4. How to Find the LCM of 3181 and 3185?

Answer:

Least Common Multiple of 3181 and 3185 = 10131485

Step 1: Find the prime factorization of 3181

3181 = 3181

Step 2: Find the prime factorization of 3185

3185 = 5 x 7 x 7 x 13

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

LCM = 10131485 = 5 x 7 x 7 x 13 x 3181

Step 4: Therefore, the least common multiple of 3181 and 3185 is 10131485.