Least Common Multiple of 4182 and 4186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4182 and 4186 the smallest integer that is 8752926 that is divisible by both numbers.

Least Common Multiple (LCM) of 4182 and 4186 is 8752926.

LCM(4182,4186) = 8752926

LCM of 4182 and 4186

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

LCM of:
and

Least Common Multiple of 4182 and 4186

LCM of 4182 and 4186 is 8752926

Least common multiple can be found by multiplying the highest exponent prime factors of 4182 and 4186. First we will calculate the prime factors of 4182 and 4186.

Prime Factorization of 4182


2 4182
3 2091
17 697
41 41
1

Prime factors of 4182 are 2, 3, 17,41. Prime factorization of 4182 in exponential form is:

4182 = 21×31×171×411

Prime Factorization of 4186


2 4186
7 2093
13 299
23 23
1

Prime factors of 4186 are 2, 7, 13,23. Prime factorization of 4186 in exponential form is:

4186 = 21×71×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4182 and 4186.

LCM(4182,4186) = 21×31×71×131×171×231×411
LCM(4182,4186) = 8752926

Factors of 4182

List of positive integer factors of 4182 that divides 4182 without a remainder.

1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182

Factors of 4186

List of positive integer factors of 4186 that divides 4186 without a remainder.

1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186

Least Common Multiple of 4182 and 4186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4182 and 4186, than apply into the LCM equation.

GCF(4182,4186) = 2
LCM(4182,4186) = ( 4182 × 4186) / 2
LCM(4182,4186) = 17505852 / 2
LCM(4182,4186) = 8752926

Properties of LCM 4182 and 4186

(i) The LCM of 4186 and 4182 is associative

LCM of 4182 and 4186 = LCM of 4186 and 4182

Related Least Common Multiples of 4182

Related Least Common Multiples of 4186

Frequently Asked Questions on LCM of 4182 and 4186

1. What is the LCM of 4182 and 4186?

Answer: LCM of 4182 and 4186 is 8752926.

2. What are the Factors of 4182?

Answer: Factors of 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182. There are 16 integers that are factors of 4182. The greatest factor of 4182 is 4182.

3. What are the Factors of 4186?

Answer: Factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186. There are 16 integers that are factors of 4186. The greatest factor of 4186 is 4186.

4. How to Find the LCM of 4182 and 4186?

Answer:

Least Common Multiple of 4182 and 4186 = 8752926

Step 1: Find the prime factorization of 4182

4182 = 2 x 3 x 17 x 41

Step 2: Find the prime factorization of 4186

4186 = 2 x 7 x 13 x 23

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

LCM = 8752926 = 2 x 3 x 7 x 13 x 17 x 23 x 41

Step 4: Therefore, the least common multiple of 4182 and 4186 is 8752926.