Least Common Multiple of 3184 and 3188

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 3188 the smallest integer that is 2537648 that is divisible by both numbers.

Least Common Multiple (LCM) of 3184 and 3188 is 2537648.

LCM(3184,3188) = 2537648

LCM of 3184 and 3188

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

LCM of:
and

Least Common Multiple of 3184 and 3188

LCM of 3184 and 3188 is 2537648

Least common multiple can be found by multiplying the highest exponent prime factors of 3184 and 3188. First we will calculate the prime factors of 3184 and 3188.

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 3188


2 3188
2 1594
797 797
1

Prime factors of 3188 are 2,797. Prime factorization of 3188 in exponential form is:

3188 = 22×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 3184 and 3188.

LCM(3184,3188) = 24×1991×7971
LCM(3184,3188) = 2537648

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 3188

List of positive integer factors of 3188 that divides 3188 without a remainder.

1, 2, 4, 797, 1594, 3188

Least Common Multiple of 3184 and 3188 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 3188, than apply into the LCM equation.

GCF(3184,3188) = 4
LCM(3184,3188) = ( 3184 × 3188) / 4
LCM(3184,3188) = 10150592 / 4
LCM(3184,3188) = 2537648

Properties of LCM 3184 and 3188

(i) The LCM of 3188 and 3184 is associative

LCM of 3184 and 3188 = LCM of 3188 and 3184

Related Least Common Multiples of 3184

Related Least Common Multiples of 3188

Frequently Asked Questions on LCM of 3184 and 3188

1. What is the LCM of 3184 and 3188?

Answer: LCM of 3184 and 3188 is 2537648.

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 3188?

Answer: Factors of 3188 are 1, 2, 4, 797, 1594, 3188. There are 6 integers that are factors of 3188. The greatest factor of 3188 is 3188.

4. How to Find the LCM of 3184 and 3188?

Answer:

Least Common Multiple of 3184 and 3188 = 2537648

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 3188

3188 = 2 x 2 x 797

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

LCM = 2537648 = 2 x 2 x 2 x 2 x 199 x 797

Step 4: Therefore, the least common multiple of 3184 and 3188 is 2537648.