Least Common Multiple of 4185 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 4185 and 4186 the smallest integer that is 17518410 that is divisible by both numbers.

Least Common Multiple (LCM) of 4185 and 4186 is 17518410.

LCM(4185,4186) = 17518410

LCM of 4185 and 4186

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

LCM of:
and

Least Common Multiple of 4185 and 4186

LCM of 4185 and 4186 is 17518410

Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4186. First we will calculate the prime factors of 4185 and 4186.

Prime Factorization of 4185


3 4185
3 1395
3 465
5 155
31 31
1

Prime factors of 4185 are 3, 5,31. Prime factorization of 4185 in exponential form is:

4185 = 33×51×311

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 4185 and 4186.

LCM(4185,4186) = 21×33×51×71×131×231×311
LCM(4185,4186) = 17518410

Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185

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 4185 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 4185 and 4186, than apply into the LCM equation.

GCF(4185,4186) = 1
LCM(4185,4186) = ( 4185 × 4186) / 1
LCM(4185,4186) = 17518410 / 1
LCM(4185,4186) = 17518410

Properties of LCM 4185 and 4186

(i) The LCM of 4186 and 4185 is associative

LCM of 4185 and 4186 = LCM of 4186 and 4185

Related Least Common Multiples of 4185

Related Least Common Multiples of 4186

Frequently Asked Questions on LCM of 4185 and 4186

1. What is the LCM of 4185 and 4186?

Answer: LCM of 4185 and 4186 is 17518410.

2. What are the Factors of 4185?

Answer: Factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185. There are 16 integers that are factors of 4185. The greatest factor of 4185 is 4185.

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 4185 and 4186?

Answer:

Least Common Multiple of 4185 and 4186 = 17518410

Step 1: Find the prime factorization of 4185

4185 = 3 x 3 x 3 x 5 x 31

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 = 17518410 = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 23 x 31

Step 4: Therefore, the least common multiple of 4185 and 4186 is 17518410.