Least Common Multiple of 3184 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 3184 and 3189 the smallest integer that is 10153776 that is divisible by both numbers.

Least Common Multiple (LCM) of 3184 and 3189 is 10153776.

LCM(3184,3189) = 10153776

LCM of 3184 and 3189

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

LCM of:
and

Least Common Multiple of 3184 and 3189

LCM of 3184 and 3189 is 10153776

Least common multiple can be found by multiplying the highest exponent prime factors of 3184 and 3189. First we will calculate the prime factors of 3184 and 3189.

Prime Factorization of 3184


2 3184
2 1592
2 796
2 398
199 199
1

Prime factors of 3184 are 2,199. Prime factorization of 3184 in exponential form is:

3184 = 24×1991

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 3184 and 3189.

LCM(3184,3189) = 24×31×1991×10631
LCM(3184,3189) = 10153776

Factors of 3184

List of positive integer factors of 3184 that divides 3184 without a remainder.

1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184

Factors of 3189

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

1, 3, 1063, 3189

Least Common Multiple of 3184 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 3184 and 3189, than apply into the LCM equation.

GCF(3184,3189) = 1
LCM(3184,3189) = ( 3184 × 3189) / 1
LCM(3184,3189) = 10153776 / 1
LCM(3184,3189) = 10153776

Properties of LCM 3184 and 3189

(i) The LCM of 3189 and 3184 is associative

LCM of 3184 and 3189 = LCM of 3189 and 3184

Related Least Common Multiples of 3184

Related Least Common Multiples of 3189

Frequently Asked Questions on LCM of 3184 and 3189

1. What is the LCM of 3184 and 3189?

Answer: LCM of 3184 and 3189 is 10153776.

2. What are the Factors of 3184?

Answer: Factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184. There are 10 integers that are factors of 3184. The greatest factor of 3184 is 3184.

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 3184 and 3189?

Answer:

Least Common Multiple of 3184 and 3189 = 10153776

Step 1: Find the prime factorization of 3184

3184 = 2 x 2 x 2 x 2 x 199

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 = 10153776 = 2 x 2 x 2 x 2 x 3 x 199 x 1063

Step 4: Therefore, the least common multiple of 3184 and 3189 is 10153776.