Least Common Multiple of 4180 and 4184

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 4184 the smallest integer that is 4372280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4180 and 4184 is 4372280.

LCM(4180,4184) = 4372280

LCM of 4180 and 4184

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

LCM of:
and

Least Common Multiple of 4180 and 4184

LCM of 4180 and 4184 is 4372280

Least common multiple can be found by multiplying the highest exponent prime factors of 4180 and 4184. First we will calculate the prime factors of 4180 and 4184.

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 4184


2 4184
2 2092
2 1046
523 523
1

Prime factors of 4184 are 2,523. Prime factorization of 4184 in exponential form is:

4184 = 23×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 4180 and 4184.

LCM(4180,4184) = 23×51×111×191×5231
LCM(4180,4184) = 4372280

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 4184

List of positive integer factors of 4184 that divides 4184 without a remainder.

1, 2, 4, 8, 523, 1046, 2092, 4184

Least Common Multiple of 4180 and 4184 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 4184, than apply into the LCM equation.

GCF(4180,4184) = 4
LCM(4180,4184) = ( 4180 × 4184) / 4
LCM(4180,4184) = 17489120 / 4
LCM(4180,4184) = 4372280

Properties of LCM 4180 and 4184

(i) The LCM of 4184 and 4180 is associative

LCM of 4180 and 4184 = LCM of 4184 and 4180

Related Least Common Multiples of 4180

Related Least Common Multiples of 4184

Frequently Asked Questions on LCM of 4180 and 4184

1. What is the LCM of 4180 and 4184?

Answer: LCM of 4180 and 4184 is 4372280.

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 4184?

Answer: Factors of 4184 are 1, 2, 4, 8, 523, 1046, 2092, 4184. There are 8 integers that are factors of 4184. The greatest factor of 4184 is 4184.

4. How to Find the LCM of 4180 and 4184?

Answer:

Least Common Multiple of 4180 and 4184 = 4372280

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 4184

4184 = 2 x 2 x 2 x 523

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

LCM = 4372280 = 2 x 2 x 2 x 5 x 11 x 19 x 523

Step 4: Therefore, the least common multiple of 4180 and 4184 is 4372280.