Least Common Multiple of 7178 and 7184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7178 and 7184 the smallest integer that is 25783376 that is divisible by both numbers.

Least Common Multiple (LCM) of 7178 and 7184 is 25783376.

LCM(7178,7184) = 25783376

LCM of 7178 and 7184

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

LCM of:
and

Least Common Multiple of 7178 and 7184

LCM of 7178 and 7184 is 25783376

Least common multiple can be found by multiplying the highest exponent prime factors of 7178 and 7184. First we will calculate the prime factors of 7178 and 7184.

Prime Factorization of 7178


2 7178
37 3589
97 97
1

Prime factors of 7178 are 2, 37,97. Prime factorization of 7178 in exponential form is:

7178 = 21×371×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7178 and 7184.

LCM(7178,7184) = 24×371×971×4491
LCM(7178,7184) = 25783376

Factors of 7178

List of positive integer factors of 7178 that divides 7178 without a remainder.

1, 2, 37, 74, 97, 194, 3589, 7178

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

Least Common Multiple of 7178 and 7184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7178 and 7184, than apply into the LCM equation.

GCF(7178,7184) = 2
LCM(7178,7184) = ( 7178 × 7184) / 2
LCM(7178,7184) = 51566752 / 2
LCM(7178,7184) = 25783376

Properties of LCM 7178 and 7184

(i) The LCM of 7184 and 7178 is associative

LCM of 7178 and 7184 = LCM of 7184 and 7178

Related Least Common Multiples of 7178

Related Least Common Multiples of 7184

Frequently Asked Questions on LCM of 7178 and 7184

1. What is the LCM of 7178 and 7184?

Answer: LCM of 7178 and 7184 is 25783376.

2. What are the Factors of 7178?

Answer: Factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178. There are 8 integers that are factors of 7178. The greatest factor of 7178 is 7178.

3. 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.

4. How to Find the LCM of 7178 and 7184?

Answer:

Least Common Multiple of 7178 and 7184 = 25783376

Step 1: Find the prime factorization of 7178

7178 = 2 x 37 x 97

Step 2: Find the prime factorization of 7184

7184 = 2 x 2 x 2 x 2 x 449

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

LCM = 25783376 = 2 x 2 x 2 x 2 x 37 x 97 x 449

Step 4: Therefore, the least common multiple of 7178 and 7184 is 25783376.