Least Common Multiple of 7182 and 7186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7182 and 7186 the smallest integer that is 25804926 that is divisible by both numbers.

Least Common Multiple (LCM) of 7182 and 7186 is 25804926.

LCM(7182,7186) = 25804926

LCM of 7182 and 7186

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

LCM of:
and

Least Common Multiple of 7182 and 7186

LCM of 7182 and 7186 is 25804926

Least common multiple can be found by multiplying the highest exponent prime factors of 7182 and 7186. First we will calculate the prime factors of 7182 and 7186.

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

Prime Factorization of 7186


2 7186
3593 3593
1

Prime factors of 7186 are 2,3593. Prime factorization of 7186 in exponential form is:

7186 = 21×35931

Now multiplying the highest exponent prime factors to calculate the LCM of 7182 and 7186.

LCM(7182,7186) = 21×33×71×191×35931
LCM(7182,7186) = 25804926

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

Factors of 7186

List of positive integer factors of 7186 that divides 7186 without a remainder.

1, 2, 3593, 7186

Least Common Multiple of 7182 and 7186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7182 and 7186, than apply into the LCM equation.

GCF(7182,7186) = 2
LCM(7182,7186) = ( 7182 × 7186) / 2
LCM(7182,7186) = 51609852 / 2
LCM(7182,7186) = 25804926

Properties of LCM 7182 and 7186

(i) The LCM of 7186 and 7182 is associative

LCM of 7182 and 7186 = LCM of 7186 and 7182

Related Least Common Multiples of 7182

Related Least Common Multiples of 7186

Frequently Asked Questions on LCM of 7182 and 7186

1. What is the LCM of 7182 and 7186?

Answer: LCM of 7182 and 7186 is 25804926.

2. 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.

3. What are the Factors of 7186?

Answer: Factors of 7186 are 1, 2, 3593, 7186. There are 4 integers that are factors of 7186. The greatest factor of 7186 is 7186.

4. How to Find the LCM of 7182 and 7186?

Answer:

Least Common Multiple of 7182 and 7186 = 25804926

Step 1: Find the prime factorization of 7182

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

Step 2: Find the prime factorization of 7186

7186 = 2 x 3593

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

LCM = 25804926 = 2 x 3 x 3 x 3 x 7 x 19 x 3593

Step 4: Therefore, the least common multiple of 7182 and 7186 is 25804926.