Least Common Multiple of 3189 and 3193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3189 and 3193 the smallest integer that is 10182477 that is divisible by both numbers.

Least Common Multiple (LCM) of 3189 and 3193 is 10182477.

LCM(3189,3193) = 10182477

LCM of 3189 and 3193

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

LCM of:
and

Least Common Multiple of 3189 and 3193

LCM of 3189 and 3193 is 10182477

Least common multiple can be found by multiplying the highest exponent prime factors of 3189 and 3193. First we will calculate the prime factors of 3189 and 3193.

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

Prime Factorization of 3193


31 3193
103 103
1

Prime factors of 3193 are 31,103. Prime factorization of 3193 in exponential form is:

3193 = 311×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3189 and 3193.

LCM(3189,3193) = 31×311×1031×10631
LCM(3189,3193) = 10182477

Factors of 3189

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

1, 3, 1063, 3189

Factors of 3193

List of positive integer factors of 3193 that divides 3193 without a remainder.

1, 31, 103, 3193

Least Common Multiple of 3189 and 3193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3189 and 3193, than apply into the LCM equation.

GCF(3189,3193) = 1
LCM(3189,3193) = ( 3189 × 3193) / 1
LCM(3189,3193) = 10182477 / 1
LCM(3189,3193) = 10182477

Properties of LCM 3189 and 3193

(i) The LCM of 3193 and 3189 is associative

LCM of 3189 and 3193 = LCM of 3193 and 3189

Related Least Common Multiples of 3189

Related Least Common Multiples of 3193

Frequently Asked Questions on LCM of 3189 and 3193

1. What is the LCM of 3189 and 3193?

Answer: LCM of 3189 and 3193 is 10182477.

2. 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.

3. What are the Factors of 3193?

Answer: Factors of 3193 are 1, 31, 103, 3193. There are 4 integers that are factors of 3193. The greatest factor of 3193 is 3193.

4. How to Find the LCM of 3189 and 3193?

Answer:

Least Common Multiple of 3189 and 3193 = 10182477

Step 1: Find the prime factorization of 3189

3189 = 3 x 1063

Step 2: Find the prime factorization of 3193

3193 = 31 x 103

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

LCM = 10182477 = 3 x 31 x 103 x 1063

Step 4: Therefore, the least common multiple of 3189 and 3193 is 10182477.