Least Common Multiple of 4180 and 4185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4180 and 4185 the smallest integer that is 3498660 that is divisible by both numbers.

Least Common Multiple (LCM) of 4180 and 4185 is 3498660.

LCM(4180,4185) = 3498660

LCM of 4180 and 4185

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

LCM of:
and

Least Common Multiple of 4180 and 4185

LCM of 4180 and 4185 is 3498660

Least common multiple can be found by multiplying the highest exponent prime factors of 4180 and 4185. First we will calculate the prime factors of 4180 and 4185.

Prime Factorization of 4180


2 4180
2 2090
5 1045
11 209
19 19
1

Prime factors of 4180 are 2, 5, 11,19. Prime factorization of 4180 in exponential form is:

4180 = 22×51×111×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4180 and 4185.

LCM(4180,4185) = 22×33×51×111×191×311
LCM(4180,4185) = 3498660

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180

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

Least Common Multiple of 4180 and 4185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4180 and 4185, than apply into the LCM equation.

GCF(4180,4185) = 5
LCM(4180,4185) = ( 4180 × 4185) / 5
LCM(4180,4185) = 17493300 / 5
LCM(4180,4185) = 3498660

Properties of LCM 4180 and 4185

(i) The LCM of 4185 and 4180 is associative

LCM of 4180 and 4185 = LCM of 4185 and 4180

Related Least Common Multiples of 4180

Related Least Common Multiples of 4185

Frequently Asked Questions on LCM of 4180 and 4185

1. What is the LCM of 4180 and 4185?

Answer: LCM of 4180 and 4185 is 3498660.

2. What are the Factors of 4180?

Answer: Factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180. There are 24 integers that are factors of 4180. The greatest factor of 4180 is 4180.

3. 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.

4. How to Find the LCM of 4180 and 4185?

Answer:

Least Common Multiple of 4180 and 4185 = 3498660

Step 1: Find the prime factorization of 4180

4180 = 2 x 2 x 5 x 11 x 19

Step 2: Find the prime factorization of 4185

4185 = 3 x 3 x 3 x 5 x 31

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

LCM = 3498660 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 4180 and 4185 is 3498660.