Least Common Multiple of 4160 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 4160 and 4165 the smallest integer that is 3465280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4160 and 4165 is 3465280.

LCM(4160,4165) = 3465280

LCM of 4160 and 4165

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

LCM of:
and

Least Common Multiple of 4160 and 4165

LCM of 4160 and 4165 is 3465280

Least common multiple can be found by multiplying the highest exponent prime factors of 4160 and 4165. First we will calculate the prime factors of 4160 and 4165.

Prime Factorization of 4160


2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 4160 are 2, 5,13. Prime factorization of 4160 in exponential form is:

4160 = 26×51×131

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 4160 and 4165.

LCM(4160,4165) = 26×51×72×131×171
LCM(4160,4165) = 3465280

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160

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 4160 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 4160 and 4165, than apply into the LCM equation.

GCF(4160,4165) = 5
LCM(4160,4165) = ( 4160 × 4165) / 5
LCM(4160,4165) = 17326400 / 5
LCM(4160,4165) = 3465280

Properties of LCM 4160 and 4165

(i) The LCM of 4165 and 4160 is associative

LCM of 4160 and 4165 = LCM of 4165 and 4160

Related Least Common Multiples of 4160

Related Least Common Multiples of 4165

Frequently Asked Questions on LCM of 4160 and 4165

1. What is the LCM of 4160 and 4165?

Answer: LCM of 4160 and 4165 is 3465280.

2. What are the Factors of 4160?

Answer: Factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160. There are 28 integers that are factors of 4160. The greatest factor of 4160 is 4160.

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 4160 and 4165?

Answer:

Least Common Multiple of 4160 and 4165 = 3465280

Step 1: Find the prime factorization of 4160

4160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

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 = 3465280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 4160 and 4165 is 3465280.