Least Common Multiple of 4158 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 4158 and 4165 the smallest integer that is 2474010 that is divisible by both numbers.

Least Common Multiple (LCM) of 4158 and 4165 is 2474010.

LCM(4158,4165) = 2474010

LCM of 4158 and 4165

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

LCM of:
and

Least Common Multiple of 4158 and 4165

LCM of 4158 and 4165 is 2474010

Least common multiple can be found by multiplying the highest exponent prime factors of 4158 and 4165. First we will calculate the prime factors of 4158 and 4165.

Prime Factorization of 4158


2 4158
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 4158 are 2, 3, 7,11. Prime factorization of 4158 in exponential form is:

4158 = 21×33×71×111

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 4158 and 4165.

LCM(4158,4165) = 21×33×51×72×111×171
LCM(4158,4165) = 2474010

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158

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 4158 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 4158 and 4165, than apply into the LCM equation.

GCF(4158,4165) = 7
LCM(4158,4165) = ( 4158 × 4165) / 7
LCM(4158,4165) = 17318070 / 7
LCM(4158,4165) = 2474010

Properties of LCM 4158 and 4165

(i) The LCM of 4165 and 4158 is associative

LCM of 4158 and 4165 = LCM of 4165 and 4158

Related Least Common Multiples of 4158

Related Least Common Multiples of 4165

Frequently Asked Questions on LCM of 4158 and 4165

1. What is the LCM of 4158 and 4165?

Answer: LCM of 4158 and 4165 is 2474010.

2. What are the Factors of 4158?

Answer: Factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158. There are 32 integers that are factors of 4158. The greatest factor of 4158 is 4158.

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 4158 and 4165?

Answer:

Least Common Multiple of 4158 and 4165 = 2474010

Step 1: Find the prime factorization of 4158

4158 = 2 x 3 x 3 x 3 x 7 x 11

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 = 2474010 = 2 x 3 x 3 x 3 x 5 x 7 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 4158 and 4165 is 2474010.