Least Common Multiple of 7178 and 7182

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 7182 the smallest integer that is 25776198 that is divisible by both numbers.

Least Common Multiple (LCM) of 7178 and 7182 is 25776198.

LCM(7178,7182) = 25776198

LCM of 7178 and 7182

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

LCM of:
and

Least Common Multiple of 7178 and 7182

LCM of 7178 and 7182 is 25776198

Least common multiple can be found by multiplying the highest exponent prime factors of 7178 and 7182. First we will calculate the prime factors of 7178 and 7182.

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 7182


2 7182
3 3591
3 1197
3 399
7 133
19 19
1

Prime factors of 7182 are 2, 3, 7,19. Prime factorization of 7182 in exponential form is:

7182 = 21×33×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7178 and 7182.

LCM(7178,7182) = 21×33×71×191×371×971
LCM(7178,7182) = 25776198

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 7182

List of positive integer factors of 7182 that divides 7182 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182

Least Common Multiple of 7178 and 7182 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 7182, than apply into the LCM equation.

GCF(7178,7182) = 2
LCM(7178,7182) = ( 7178 × 7182) / 2
LCM(7178,7182) = 51552396 / 2
LCM(7178,7182) = 25776198

Properties of LCM 7178 and 7182

(i) The LCM of 7182 and 7178 is associative

LCM of 7178 and 7182 = LCM of 7182 and 7178

Related Least Common Multiples of 7178

Related Least Common Multiples of 7182

Frequently Asked Questions on LCM of 7178 and 7182

1. What is the LCM of 7178 and 7182?

Answer: LCM of 7178 and 7182 is 25776198.

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 7182?

Answer: Factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182. There are 32 integers that are factors of 7182. The greatest factor of 7182 is 7182.

4. How to Find the LCM of 7178 and 7182?

Answer:

Least Common Multiple of 7178 and 7182 = 25776198

Step 1: Find the prime factorization of 7178

7178 = 2 x 37 x 97

Step 2: Find the prime factorization of 7182

7182 = 2 x 3 x 3 x 3 x 7 x 19

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

LCM = 25776198 = 2 x 3 x 3 x 3 x 7 x 19 x 37 x 97

Step 4: Therefore, the least common multiple of 7178 and 7182 is 25776198.