Least Common Multiple of 4157 and 4163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4157 and 4163 the smallest integer that is 17305591 that is divisible by both numbers.

Least Common Multiple (LCM) of 4157 and 4163 is 17305591.

LCM(4157,4163) = 17305591

LCM of 4157 and 4163

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

LCM of:
and

Least Common Multiple of 4157 and 4163

LCM of 4157 and 4163 is 17305591

Least common multiple can be found by multiplying the highest exponent prime factors of 4157 and 4163. First we will calculate the prime factors of 4157 and 4163.

Prime Factorization of 4157


4157 4157
1

Prime factors of 4157 are 4157. Prime factorization of 4157 in exponential form is:

4157 = 41571

Prime Factorization of 4163


23 4163
181 181
1

Prime factors of 4163 are 23,181. Prime factorization of 4163 in exponential form is:

4163 = 231×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 4157 and 4163.

LCM(4157,4163) = 231×1811×41571
LCM(4157,4163) = 17305591

Factors of 4157

List of positive integer factors of 4157 that divides 4157 without a remainder.

1, 4157

Factors of 4163

List of positive integer factors of 4163 that divides 4163 without a remainder.

1, 23, 181, 4163

Least Common Multiple of 4157 and 4163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4157 and 4163, than apply into the LCM equation.

GCF(4157,4163) = 1
LCM(4157,4163) = ( 4157 × 4163) / 1
LCM(4157,4163) = 17305591 / 1
LCM(4157,4163) = 17305591

Properties of LCM 4157 and 4163

(i) The LCM of 4163 and 4157 is associative

LCM of 4157 and 4163 = LCM of 4163 and 4157

Related Least Common Multiples of 4157

Related Least Common Multiples of 4163

Frequently Asked Questions on LCM of 4157 and 4163

1. What is the LCM of 4157 and 4163?

Answer: LCM of 4157 and 4163 is 17305591.

2. What are the Factors of 4157?

Answer: Factors of 4157 are 1, 4157. There are 2 integers that are factors of 4157. The greatest factor of 4157 is 4157.

3. What are the Factors of 4163?

Answer: Factors of 4163 are 1, 23, 181, 4163. There are 4 integers that are factors of 4163. The greatest factor of 4163 is 4163.

4. How to Find the LCM of 4157 and 4163?

Answer:

Least Common Multiple of 4157 and 4163 = 17305591

Step 1: Find the prime factorization of 4157

4157 = 4157

Step 2: Find the prime factorization of 4163

4163 = 23 x 181

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

LCM = 17305591 = 23 x 181 x 4157

Step 4: Therefore, the least common multiple of 4157 and 4163 is 17305591.