Least Common Multiple of 7184 and 7187

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 7187 the smallest integer that is 51631408 that is divisible by both numbers.

Least Common Multiple (LCM) of 7184 and 7187 is 51631408.

LCM(7184,7187) = 51631408

LCM of 7184 and 7187

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

LCM of:
and

Least Common Multiple of 7184 and 7187

LCM of 7184 and 7187 is 51631408

Least common multiple can be found by multiplying the highest exponent prime factors of 7184 and 7187. First we will calculate the prime factors of 7184 and 7187.

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 7187


7187 7187
1

Prime factors of 7187 are 7187. Prime factorization of 7187 in exponential form is:

7187 = 71871

Now multiplying the highest exponent prime factors to calculate the LCM of 7184 and 7187.

LCM(7184,7187) = 24×4491×71871
LCM(7184,7187) = 51631408

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 7187

List of positive integer factors of 7187 that divides 7187 without a remainder.

1, 7187

Least Common Multiple of 7184 and 7187 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 7187, than apply into the LCM equation.

GCF(7184,7187) = 1
LCM(7184,7187) = ( 7184 × 7187) / 1
LCM(7184,7187) = 51631408 / 1
LCM(7184,7187) = 51631408

Properties of LCM 7184 and 7187

(i) The LCM of 7187 and 7184 is associative

LCM of 7184 and 7187 = LCM of 7187 and 7184

Related Least Common Multiples of 7184

Related Least Common Multiples of 7187

Frequently Asked Questions on LCM of 7184 and 7187

1. What is the LCM of 7184 and 7187?

Answer: LCM of 7184 and 7187 is 51631408.

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 7187?

Answer: Factors of 7187 are 1, 7187. There are 2 integers that are factors of 7187. The greatest factor of 7187 is 7187.

4. How to Find the LCM of 7184 and 7187?

Answer:

Least Common Multiple of 7184 and 7187 = 51631408

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 7187

7187 = 7187

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

LCM = 51631408 = 2 x 2 x 2 x 2 x 449 x 7187

Step 4: Therefore, the least common multiple of 7184 and 7187 is 51631408.