Least Common Multiple of 4165 and 4171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4165 and 4171 the smallest integer that is 17372215 that is divisible by both numbers.

Least Common Multiple (LCM) of 4165 and 4171 is 17372215.

LCM(4165,4171) = 17372215

LCM of 4165 and 4171

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

LCM of:
and

Least Common Multiple of 4165 and 4171

LCM of 4165 and 4171 is 17372215

Least common multiple can be found by multiplying the highest exponent prime factors of 4165 and 4171. First we will calculate the prime factors of 4165 and 4171.

Prime Factorization of 4165


5 4165
7 833
7 119
17 17
1

Prime factors of 4165 are 5, 7,17. Prime factorization of 4165 in exponential form is:

4165 = 51×72×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4165 and 4171.

LCM(4165,4171) = 51×72×171×431×971
LCM(4165,4171) = 17372215

Factors of 4165

List of positive integer factors of 4165 that divides 4165 without a remainder.

1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165

Factors of 4171

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

1, 43, 97, 4171

Least Common Multiple of 4165 and 4171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4165 and 4171, than apply into the LCM equation.

GCF(4165,4171) = 1
LCM(4165,4171) = ( 4165 × 4171) / 1
LCM(4165,4171) = 17372215 / 1
LCM(4165,4171) = 17372215

Properties of LCM 4165 and 4171

(i) The LCM of 4171 and 4165 is associative

LCM of 4165 and 4171 = LCM of 4171 and 4165

Related Least Common Multiples of 4165

Related Least Common Multiples of 4171

Frequently Asked Questions on LCM of 4165 and 4171

1. What is the LCM of 4165 and 4171?

Answer: LCM of 4165 and 4171 is 17372215.

2. What are the Factors of 4165?

Answer: Factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165. There are 12 integers that are factors of 4165. The greatest factor of 4165 is 4165.

3. 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.

4. How to Find the LCM of 4165 and 4171?

Answer:

Least Common Multiple of 4165 and 4171 = 17372215

Step 1: Find the prime factorization of 4165

4165 = 5 x 7 x 7 x 17

Step 2: Find the prime factorization of 4171

4171 = 43 x 97

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

LCM = 17372215 = 5 x 7 x 7 x 17 x 43 x 97

Step 4: Therefore, the least common multiple of 4165 and 4171 is 17372215.