Least Common Multiple of 3189 and 3196

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 3196 the smallest integer that is 10192044 that is divisible by both numbers.

Least Common Multiple (LCM) of 3189 and 3196 is 10192044.

LCM(3189,3196) = 10192044

LCM of 3189 and 3196

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

LCM of:
and

Least Common Multiple of 3189 and 3196

LCM of 3189 and 3196 is 10192044

Least common multiple can be found by multiplying the highest exponent prime factors of 3189 and 3196. First we will calculate the prime factors of 3189 and 3196.

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 3196


2 3196
2 1598
17 799
47 47
1

Prime factors of 3196 are 2, 17,47. Prime factorization of 3196 in exponential form is:

3196 = 22×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3189 and 3196.

LCM(3189,3196) = 22×31×171×471×10631
LCM(3189,3196) = 10192044

Factors of 3189

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

1, 3, 1063, 3189

Factors of 3196

List of positive integer factors of 3196 that divides 3196 without a remainder.

1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196

Least Common Multiple of 3189 and 3196 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 3196, than apply into the LCM equation.

GCF(3189,3196) = 1
LCM(3189,3196) = ( 3189 × 3196) / 1
LCM(3189,3196) = 10192044 / 1
LCM(3189,3196) = 10192044

Properties of LCM 3189 and 3196

(i) The LCM of 3196 and 3189 is associative

LCM of 3189 and 3196 = LCM of 3196 and 3189

Related Least Common Multiples of 3189

Related Least Common Multiples of 3196

Frequently Asked Questions on LCM of 3189 and 3196

1. What is the LCM of 3189 and 3196?

Answer: LCM of 3189 and 3196 is 10192044.

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 3196?

Answer: Factors of 3196 are 1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196. There are 12 integers that are factors of 3196. The greatest factor of 3196 is 3196.

4. How to Find the LCM of 3189 and 3196?

Answer:

Least Common Multiple of 3189 and 3196 = 10192044

Step 1: Find the prime factorization of 3189

3189 = 3 x 1063

Step 2: Find the prime factorization of 3196

3196 = 2 x 2 x 17 x 47

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

LCM = 10192044 = 2 x 2 x 3 x 17 x 47 x 1063

Step 4: Therefore, the least common multiple of 3189 and 3196 is 10192044.