Least Common Multiple of 4180 and 4183

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 4183 the smallest integer that is 17484940 that is divisible by both numbers.

Least Common Multiple (LCM) of 4180 and 4183 is 17484940.

LCM(4180,4183) = 17484940

LCM of 4180 and 4183

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

LCM of:
and

Least Common Multiple of 4180 and 4183

LCM of 4180 and 4183 is 17484940

Least common multiple can be found by multiplying the highest exponent prime factors of 4180 and 4183. First we will calculate the prime factors of 4180 and 4183.

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 4183


47 4183
89 89
1

Prime factors of 4183 are 47,89. Prime factorization of 4183 in exponential form is:

4183 = 471×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4180 and 4183.

LCM(4180,4183) = 22×51×111×191×471×891
LCM(4180,4183) = 17484940

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 4183

List of positive integer factors of 4183 that divides 4183 without a remainder.

1, 47, 89, 4183

Least Common Multiple of 4180 and 4183 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 4183, than apply into the LCM equation.

GCF(4180,4183) = 1
LCM(4180,4183) = ( 4180 × 4183) / 1
LCM(4180,4183) = 17484940 / 1
LCM(4180,4183) = 17484940

Properties of LCM 4180 and 4183

(i) The LCM of 4183 and 4180 is associative

LCM of 4180 and 4183 = LCM of 4183 and 4180

Related Least Common Multiples of 4180

Related Least Common Multiples of 4183

Frequently Asked Questions on LCM of 4180 and 4183

1. What is the LCM of 4180 and 4183?

Answer: LCM of 4180 and 4183 is 17484940.

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 4183?

Answer: Factors of 4183 are 1, 47, 89, 4183. There are 4 integers that are factors of 4183. The greatest factor of 4183 is 4183.

4. How to Find the LCM of 4180 and 4183?

Answer:

Least Common Multiple of 4180 and 4183 = 17484940

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 4183

4183 = 47 x 89

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

LCM = 17484940 = 2 x 2 x 5 x 11 x 19 x 47 x 89

Step 4: Therefore, the least common multiple of 4180 and 4183 is 17484940.