Least Common Multiple of 7184 and 7188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7184 and 7188 the smallest integer that is 12909648 that is divisible by both numbers.

Least Common Multiple (LCM) of 7184 and 7188 is 12909648.

LCM(7184,7188) = 12909648

LCM of 7184 and 7188

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

LCM of:
and

Least Common Multiple of 7184 and 7188

LCM of 7184 and 7188 is 12909648

Least common multiple can be found by multiplying the highest exponent prime factors of 7184 and 7188. First we will calculate the prime factors of 7184 and 7188.

Prime Factorization of 7184


2 7184
2 3592
2 1796
2 898
449 449
1

Prime factors of 7184 are 2,449. Prime factorization of 7184 in exponential form is:

7184 = 24×4491

Prime Factorization of 7188


2 7188
2 3594
3 1797
599 599
1

Prime factors of 7188 are 2, 3,599. Prime factorization of 7188 in exponential form is:

7188 = 22×31×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 7184 and 7188.

LCM(7184,7188) = 24×31×4491×5991
LCM(7184,7188) = 12909648

Factors of 7184

List of positive integer factors of 7184 that divides 7184 without a remainder.

1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188

Least Common Multiple of 7184 and 7188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7184 and 7188, than apply into the LCM equation.

GCF(7184,7188) = 4
LCM(7184,7188) = ( 7184 × 7188) / 4
LCM(7184,7188) = 51638592 / 4
LCM(7184,7188) = 12909648

Properties of LCM 7184 and 7188

(i) The LCM of 7188 and 7184 is associative

LCM of 7184 and 7188 = LCM of 7188 and 7184

Related Least Common Multiples of 7184

Related Least Common Multiples of 7188

Frequently Asked Questions on LCM of 7184 and 7188

1. What is the LCM of 7184 and 7188?

Answer: LCM of 7184 and 7188 is 12909648.

2. What are the Factors of 7184?

Answer: Factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184. There are 10 integers that are factors of 7184. The greatest factor of 7184 is 7184.

3. What are the Factors of 7188?

Answer: Factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188. There are 12 integers that are factors of 7188. The greatest factor of 7188 is 7188.

4. How to Find the LCM of 7184 and 7188?

Answer:

Least Common Multiple of 7184 and 7188 = 12909648

Step 1: Find the prime factorization of 7184

7184 = 2 x 2 x 2 x 2 x 449

Step 2: Find the prime factorization of 7188

7188 = 2 x 2 x 3 x 599

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

LCM = 12909648 = 2 x 2 x 2 x 2 x 3 x 449 x 599

Step 4: Therefore, the least common multiple of 7184 and 7188 is 12909648.