Least Common Multiple of 3187 and 3189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3187 and 3189 the smallest integer that is 10163343 that is divisible by both numbers.

Least Common Multiple (LCM) of 3187 and 3189 is 10163343.

LCM(3187,3189) = 10163343

LCM of 3187 and 3189

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

LCM of:
and

Least Common Multiple of 3187 and 3189

LCM of 3187 and 3189 is 10163343

Least common multiple can be found by multiplying the highest exponent prime factors of 3187 and 3189. First we will calculate the prime factors of 3187 and 3189.

Prime Factorization of 3187


3187 3187
1

Prime factors of 3187 are 3187. Prime factorization of 3187 in exponential form is:

3187 = 31871

Prime Factorization of 3189


3 3189
1063 1063
1

Prime factors of 3189 are 3,1063. Prime factorization of 3189 in exponential form is:

3189 = 31×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 3187 and 3189.

LCM(3187,3189) = 31×10631×31871
LCM(3187,3189) = 10163343

Factors of 3187

List of positive integer factors of 3187 that divides 3187 without a remainder.

1, 3187

Factors of 3189

List of positive integer factors of 3189 that divides 3189 without a remainder.

1, 3, 1063, 3189

Least Common Multiple of 3187 and 3189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3187 and 3189, than apply into the LCM equation.

GCF(3187,3189) = 1
LCM(3187,3189) = ( 3187 × 3189) / 1
LCM(3187,3189) = 10163343 / 1
LCM(3187,3189) = 10163343

Properties of LCM 3187 and 3189

(i) The LCM of 3189 and 3187 is associative

LCM of 3187 and 3189 = LCM of 3189 and 3187

Related Least Common Multiples of 3187

Related Least Common Multiples of 3189

Frequently Asked Questions on LCM of 3187 and 3189

1. What is the LCM of 3187 and 3189?

Answer: LCM of 3187 and 3189 is 10163343.

2. What are the Factors of 3187?

Answer: Factors of 3187 are 1, 3187. There are 2 integers that are factors of 3187. The greatest factor of 3187 is 3187.

3. What are the Factors of 3189?

Answer: Factors of 3189 are 1, 3, 1063, 3189. There are 4 integers that are factors of 3189. The greatest factor of 3189 is 3189.

4. How to Find the LCM of 3187 and 3189?

Answer:

Least Common Multiple of 3187 and 3189 = 10163343

Step 1: Find the prime factorization of 3187

3187 = 3187

Step 2: Find the prime factorization of 3189

3189 = 3 x 1063

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

LCM = 10163343 = 3 x 1063 x 3187

Step 4: Therefore, the least common multiple of 3187 and 3189 is 10163343.