Least Common Multiple of 4171 and 4176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4171 and 4176 the smallest integer that is 17418096 that is divisible by both numbers.

Least Common Multiple (LCM) of 4171 and 4176 is 17418096.

LCM(4171,4176) = 17418096

LCM of 4171 and 4176

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

LCM of:
and

Least Common Multiple of 4171 and 4176

LCM of 4171 and 4176 is 17418096

Least common multiple can be found by multiplying the highest exponent prime factors of 4171 and 4176. First we will calculate the prime factors of 4171 and 4176.

Prime Factorization of 4171


43 4171
97 97
1

Prime factors of 4171 are 43,97. Prime factorization of 4171 in exponential form is:

4171 = 431×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4171 and 4176.

LCM(4171,4176) = 24×32×291×431×971
LCM(4171,4176) = 17418096

Factors of 4171

List of positive integer factors of 4171 that divides 4171 without a remainder.

1, 43, 97, 4171

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

Least Common Multiple of 4171 and 4176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4171 and 4176, than apply into the LCM equation.

GCF(4171,4176) = 1
LCM(4171,4176) = ( 4171 × 4176) / 1
LCM(4171,4176) = 17418096 / 1
LCM(4171,4176) = 17418096

Properties of LCM 4171 and 4176

(i) The LCM of 4176 and 4171 is associative

LCM of 4171 and 4176 = LCM of 4176 and 4171

Related Least Common Multiples of 4171

Related Least Common Multiples of 4176

Frequently Asked Questions on LCM of 4171 and 4176

1. What is the LCM of 4171 and 4176?

Answer: LCM of 4171 and 4176 is 17418096.

2. What are the Factors of 4171?

Answer: Factors of 4171 are 1, 43, 97, 4171. There are 4 integers that are factors of 4171. The greatest factor of 4171 is 4171.

3. 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.

4. How to Find the LCM of 4171 and 4176?

Answer:

Least Common Multiple of 4171 and 4176 = 17418096

Step 1: Find the prime factorization of 4171

4171 = 43 x 97

Step 2: Find the prime factorization of 4176

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

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

LCM = 17418096 = 2 x 2 x 2 x 2 x 3 x 3 x 29 x 43 x 97

Step 4: Therefore, the least common multiple of 4171 and 4176 is 17418096.