Least Common Multiple of 7188 and 7193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7188 and 7193 the smallest integer that is 51703284 that is divisible by both numbers.

Least Common Multiple (LCM) of 7188 and 7193 is 51703284.

LCM(7188,7193) = 51703284

LCM of 7188 and 7193

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

LCM of:
and

Least Common Multiple of 7188 and 7193

LCM of 7188 and 7193 is 51703284

Least common multiple can be found by multiplying the highest exponent prime factors of 7188 and 7193. First we will calculate the prime factors of 7188 and 7193.

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

Prime Factorization of 7193


7193 7193
1

Prime factors of 7193 are 7193. Prime factorization of 7193 in exponential form is:

7193 = 71931

Now multiplying the highest exponent prime factors to calculate the LCM of 7188 and 7193.

LCM(7188,7193) = 22×31×5991×71931
LCM(7188,7193) = 51703284

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

Factors of 7193

List of positive integer factors of 7193 that divides 7193 without a remainder.

1, 7193

Least Common Multiple of 7188 and 7193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7188 and 7193, than apply into the LCM equation.

GCF(7188,7193) = 1
LCM(7188,7193) = ( 7188 × 7193) / 1
LCM(7188,7193) = 51703284 / 1
LCM(7188,7193) = 51703284

Properties of LCM 7188 and 7193

(i) The LCM of 7193 and 7188 is associative

LCM of 7188 and 7193 = LCM of 7193 and 7188

Related Least Common Multiples of 7188

Related Least Common Multiples of 7193

Frequently Asked Questions on LCM of 7188 and 7193

1. What is the LCM of 7188 and 7193?

Answer: LCM of 7188 and 7193 is 51703284.

2. 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.

3. What are the Factors of 7193?

Answer: Factors of 7193 are 1, 7193. There are 2 integers that are factors of 7193. The greatest factor of 7193 is 7193.

4. How to Find the LCM of 7188 and 7193?

Answer:

Least Common Multiple of 7188 and 7193 = 51703284

Step 1: Find the prime factorization of 7188

7188 = 2 x 2 x 3 x 599

Step 2: Find the prime factorization of 7193

7193 = 7193

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

LCM = 51703284 = 2 x 2 x 3 x 599 x 7193

Step 4: Therefore, the least common multiple of 7188 and 7193 is 51703284.