Least Common Multiple of 4176 and 4182

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 4182 the smallest integer that is 2910672 that is divisible by both numbers.

Least Common Multiple (LCM) of 4176 and 4182 is 2910672.

LCM(4176,4182) = 2910672

LCM of 4176 and 4182

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

LCM of:
and

Least Common Multiple of 4176 and 4182

LCM of 4176 and 4182 is 2910672

Least common multiple can be found by multiplying the highest exponent prime factors of 4176 and 4182. First we will calculate the prime factors of 4176 and 4182.

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 4182


2 4182
3 2091
17 697
41 41
1

Prime factors of 4182 are 2, 3, 17,41. Prime factorization of 4182 in exponential form is:

4182 = 21×31×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4176 and 4182.

LCM(4176,4182) = 24×32×171×291×411
LCM(4176,4182) = 2910672

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 4182

List of positive integer factors of 4182 that divides 4182 without a remainder.

1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182

Least Common Multiple of 4176 and 4182 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 4182, than apply into the LCM equation.

GCF(4176,4182) = 6
LCM(4176,4182) = ( 4176 × 4182) / 6
LCM(4176,4182) = 17464032 / 6
LCM(4176,4182) = 2910672

Properties of LCM 4176 and 4182

(i) The LCM of 4182 and 4176 is associative

LCM of 4176 and 4182 = LCM of 4182 and 4176

Related Least Common Multiples of 4176

Related Least Common Multiples of 4182

Frequently Asked Questions on LCM of 4176 and 4182

1. What is the LCM of 4176 and 4182?

Answer: LCM of 4176 and 4182 is 2910672.

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 4182?

Answer: Factors of 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182. There are 16 integers that are factors of 4182. The greatest factor of 4182 is 4182.

4. How to Find the LCM of 4176 and 4182?

Answer:

Least Common Multiple of 4176 and 4182 = 2910672

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 4182

4182 = 2 x 3 x 17 x 41

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

LCM = 2910672 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 4176 and 4182 is 2910672.