Least Common Multiple of 4176 and 4181

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 4181 the smallest integer that is 17459856 that is divisible by both numbers.

Least Common Multiple (LCM) of 4176 and 4181 is 17459856.

LCM(4176,4181) = 17459856

LCM of 4176 and 4181

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

LCM of:
and

Least Common Multiple of 4176 and 4181

LCM of 4176 and 4181 is 17459856

Least common multiple can be found by multiplying the highest exponent prime factors of 4176 and 4181. First we will calculate the prime factors of 4176 and 4181.

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 4181


37 4181
113 113
1

Prime factors of 4181 are 37,113. Prime factorization of 4181 in exponential form is:

4181 = 371×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4176 and 4181.

LCM(4176,4181) = 24×32×291×371×1131
LCM(4176,4181) = 17459856

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 4181

List of positive integer factors of 4181 that divides 4181 without a remainder.

1, 37, 113, 4181

Least Common Multiple of 4176 and 4181 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 4181, than apply into the LCM equation.

GCF(4176,4181) = 1
LCM(4176,4181) = ( 4176 × 4181) / 1
LCM(4176,4181) = 17459856 / 1
LCM(4176,4181) = 17459856

Properties of LCM 4176 and 4181

(i) The LCM of 4181 and 4176 is associative

LCM of 4176 and 4181 = LCM of 4181 and 4176

Related Least Common Multiples of 4176

Related Least Common Multiples of 4181

Frequently Asked Questions on LCM of 4176 and 4181

1. What is the LCM of 4176 and 4181?

Answer: LCM of 4176 and 4181 is 17459856.

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 4181?

Answer: Factors of 4181 are 1, 37, 113, 4181. There are 4 integers that are factors of 4181. The greatest factor of 4181 is 4181.

4. How to Find the LCM of 4176 and 4181?

Answer:

Least Common Multiple of 4176 and 4181 = 17459856

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 4181

4181 = 37 x 113

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

LCM = 17459856 = 2 x 2 x 2 x 2 x 3 x 3 x 29 x 37 x 113

Step 4: Therefore, the least common multiple of 4176 and 4181 is 17459856.