Least Common Multiple of 4153 and 4158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4153 and 4158 the smallest integer that is 17268174 that is divisible by both numbers.

Least Common Multiple (LCM) of 4153 and 4158 is 17268174.

LCM(4153,4158) = 17268174

LCM of 4153 and 4158

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

LCM of:
and

Least Common Multiple of 4153 and 4158

LCM of 4153 and 4158 is 17268174

Least common multiple can be found by multiplying the highest exponent prime factors of 4153 and 4158. First we will calculate the prime factors of 4153 and 4158.

Prime Factorization of 4153


4153 4153
1

Prime factors of 4153 are 4153. Prime factorization of 4153 in exponential form is:

4153 = 41531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4153 and 4158.

LCM(4153,4158) = 21×33×71×111×41531
LCM(4153,4158) = 17268174

Factors of 4153

List of positive integer factors of 4153 that divides 4153 without a remainder.

1, 4153

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

Least Common Multiple of 4153 and 4158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4153 and 4158, than apply into the LCM equation.

GCF(4153,4158) = 1
LCM(4153,4158) = ( 4153 × 4158) / 1
LCM(4153,4158) = 17268174 / 1
LCM(4153,4158) = 17268174

Properties of LCM 4153 and 4158

(i) The LCM of 4158 and 4153 is associative

LCM of 4153 and 4158 = LCM of 4158 and 4153

Related Least Common Multiples of 4153

Related Least Common Multiples of 4158

Frequently Asked Questions on LCM of 4153 and 4158

1. What is the LCM of 4153 and 4158?

Answer: LCM of 4153 and 4158 is 17268174.

2. What are the Factors of 4153?

Answer: Factors of 4153 are 1, 4153. There are 2 integers that are factors of 4153. The greatest factor of 4153 is 4153.

3. 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.

4. How to Find the LCM of 4153 and 4158?

Answer:

Least Common Multiple of 4153 and 4158 = 17268174

Step 1: Find the prime factorization of 4153

4153 = 4153

Step 2: Find the prime factorization of 4158

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

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

LCM = 17268174 = 2 x 3 x 3 x 3 x 7 x 11 x 4153

Step 4: Therefore, the least common multiple of 4153 and 4158 is 17268174.