Least Common Multiple of 3185 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 3185 and 3189 the smallest integer that is 10156965 that is divisible by both numbers.

Least Common Multiple (LCM) of 3185 and 3189 is 10156965.

LCM(3185,3189) = 10156965

LCM of 3185 and 3189

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

LCM of:
and

Least Common Multiple of 3185 and 3189

LCM of 3185 and 3189 is 10156965

Least common multiple can be found by multiplying the highest exponent prime factors of 3185 and 3189. First we will calculate the prime factors of 3185 and 3189.

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

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 3185 and 3189.

LCM(3185,3189) = 31×51×72×131×10631
LCM(3185,3189) = 10156965

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

Factors of 3189

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

1, 3, 1063, 3189

Least Common Multiple of 3185 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 3185 and 3189, than apply into the LCM equation.

GCF(3185,3189) = 1
LCM(3185,3189) = ( 3185 × 3189) / 1
LCM(3185,3189) = 10156965 / 1
LCM(3185,3189) = 10156965

Properties of LCM 3185 and 3189

(i) The LCM of 3189 and 3185 is associative

LCM of 3185 and 3189 = LCM of 3189 and 3185

Related Least Common Multiples of 3185

Related Least Common Multiples of 3189

Frequently Asked Questions on LCM of 3185 and 3189

1. What is the LCM of 3185 and 3189?

Answer: LCM of 3185 and 3189 is 10156965.

2. 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.

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 3185 and 3189?

Answer:

Least Common Multiple of 3185 and 3189 = 10156965

Step 1: Find the prime factorization of 3185

3185 = 5 x 7 x 7 x 13

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 = 10156965 = 3 x 5 x 7 x 7 x 13 x 1063

Step 4: Therefore, the least common multiple of 3185 and 3189 is 10156965.