Least Common Multiple of 3184 and 3187

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 3187 the smallest integer that is 10147408 that is divisible by both numbers.

Least Common Multiple (LCM) of 3184 and 3187 is 10147408.

LCM(3184,3187) = 10147408

LCM of 3184 and 3187

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

LCM of:
and

Least Common Multiple of 3184 and 3187

LCM of 3184 and 3187 is 10147408

Least common multiple can be found by multiplying the highest exponent prime factors of 3184 and 3187. First we will calculate the prime factors of 3184 and 3187.

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 3187


3187 3187
1

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

3187 = 31871

Now multiplying the highest exponent prime factors to calculate the LCM of 3184 and 3187.

LCM(3184,3187) = 24×1991×31871
LCM(3184,3187) = 10147408

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 3187

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

1, 3187

Least Common Multiple of 3184 and 3187 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 3187, than apply into the LCM equation.

GCF(3184,3187) = 1
LCM(3184,3187) = ( 3184 × 3187) / 1
LCM(3184,3187) = 10147408 / 1
LCM(3184,3187) = 10147408

Properties of LCM 3184 and 3187

(i) The LCM of 3187 and 3184 is associative

LCM of 3184 and 3187 = LCM of 3187 and 3184

Related Least Common Multiples of 3184

Related Least Common Multiples of 3187

Frequently Asked Questions on LCM of 3184 and 3187

1. What is the LCM of 3184 and 3187?

Answer: LCM of 3184 and 3187 is 10147408.

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 3187?

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

4. How to Find the LCM of 3184 and 3187?

Answer:

Least Common Multiple of 3184 and 3187 = 10147408

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 3187

3187 = 3187

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

LCM = 10147408 = 2 x 2 x 2 x 2 x 199 x 3187

Step 4: Therefore, the least common multiple of 3184 and 3187 is 10147408.