Least Common Multiple of 4159 and 4165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4159 and 4165 the smallest integer that is 17322235 that is divisible by both numbers.

Least Common Multiple (LCM) of 4159 and 4165 is 17322235.

LCM(4159,4165) = 17322235

LCM of 4159 and 4165

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

LCM of:
and

Least Common Multiple of 4159 and 4165

LCM of 4159 and 4165 is 17322235

Least common multiple can be found by multiplying the highest exponent prime factors of 4159 and 4165. First we will calculate the prime factors of 4159 and 4165.

Prime Factorization of 4159


4159 4159
1

Prime factors of 4159 are 4159. Prime factorization of 4159 in exponential form is:

4159 = 41591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4159 and 4165.

LCM(4159,4165) = 51×72×171×41591
LCM(4159,4165) = 17322235

Factors of 4159

List of positive integer factors of 4159 that divides 4159 without a remainder.

1, 4159

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

Least Common Multiple of 4159 and 4165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4159 and 4165, than apply into the LCM equation.

GCF(4159,4165) = 1
LCM(4159,4165) = ( 4159 × 4165) / 1
LCM(4159,4165) = 17322235 / 1
LCM(4159,4165) = 17322235

Properties of LCM 4159 and 4165

(i) The LCM of 4165 and 4159 is associative

LCM of 4159 and 4165 = LCM of 4165 and 4159

Related Least Common Multiples of 4159

Related Least Common Multiples of 4165

Frequently Asked Questions on LCM of 4159 and 4165

1. What is the LCM of 4159 and 4165?

Answer: LCM of 4159 and 4165 is 17322235.

2. What are the Factors of 4159?

Answer: Factors of 4159 are 1, 4159. There are 2 integers that are factors of 4159. The greatest factor of 4159 is 4159.

3. 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.

4. How to Find the LCM of 4159 and 4165?

Answer:

Least Common Multiple of 4159 and 4165 = 17322235

Step 1: Find the prime factorization of 4159

4159 = 4159

Step 2: Find the prime factorization of 4165

4165 = 5 x 7 x 7 x 17

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

LCM = 17322235 = 5 x 7 x 7 x 17 x 4159

Step 4: Therefore, the least common multiple of 4159 and 4165 is 17322235.