Least Common Multiple of 4176 and 4180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4176 and 4180 the smallest integer that is 4363920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4176 and 4180 is 4363920.

LCM(4176,4180) = 4363920

LCM of 4176 and 4180

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

LCM of:
and

Least Common Multiple of 4176 and 4180

LCM of 4176 and 4180 is 4363920

Least common multiple can be found by multiplying the highest exponent prime factors of 4176 and 4180. First we will calculate the prime factors of 4176 and 4180.

Prime Factorization of 4176


2 4176
2 2088
2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 4176 are 2, 3,29. Prime factorization of 4176 in exponential form is:

4176 = 24×32×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4176 and 4180.

LCM(4176,4180) = 24×32×51×111×191×291
LCM(4176,4180) = 4363920

Factors of 4176

List of positive integer factors of 4176 that divides 4176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176

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

Least Common Multiple of 4176 and 4180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4176 and 4180, than apply into the LCM equation.

GCF(4176,4180) = 4
LCM(4176,4180) = ( 4176 × 4180) / 4
LCM(4176,4180) = 17455680 / 4
LCM(4176,4180) = 4363920

Properties of LCM 4176 and 4180

(i) The LCM of 4180 and 4176 is associative

LCM of 4176 and 4180 = LCM of 4180 and 4176

Related Least Common Multiples of 4176

Related Least Common Multiples of 4180

Frequently Asked Questions on LCM of 4176 and 4180

1. What is the LCM of 4176 and 4180?

Answer: LCM of 4176 and 4180 is 4363920.

2. What are the Factors of 4176?

Answer: Factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176. There are 30 integers that are factors of 4176. The greatest factor of 4176 is 4176.

3. 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.

4. How to Find the LCM of 4176 and 4180?

Answer:

Least Common Multiple of 4176 and 4180 = 4363920

Step 1: Find the prime factorization of 4176

4176 = 2 x 2 x 2 x 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 4180

4180 = 2 x 2 x 5 x 11 x 19

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

LCM = 4363920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 4176 and 4180 is 4363920.