Least Common Multiple of 4157 and 4162

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 4162 the smallest integer that is 17301434 that is divisible by both numbers.

Least Common Multiple (LCM) of 4157 and 4162 is 17301434.

LCM(4157,4162) = 17301434

LCM of 4157 and 4162

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

LCM of:
and

Least Common Multiple of 4157 and 4162

LCM of 4157 and 4162 is 17301434

Least common multiple can be found by multiplying the highest exponent prime factors of 4157 and 4162. First we will calculate the prime factors of 4157 and 4162.

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 4162


2 4162
2081 2081
1

Prime factors of 4162 are 2,2081. Prime factorization of 4162 in exponential form is:

4162 = 21×20811

Now multiplying the highest exponent prime factors to calculate the LCM of 4157 and 4162.

LCM(4157,4162) = 21×20811×41571
LCM(4157,4162) = 17301434

Factors of 4157

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

1, 4157

Factors of 4162

List of positive integer factors of 4162 that divides 4162 without a remainder.

1, 2, 2081, 4162

Least Common Multiple of 4157 and 4162 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 4162, than apply into the LCM equation.

GCF(4157,4162) = 1
LCM(4157,4162) = ( 4157 × 4162) / 1
LCM(4157,4162) = 17301434 / 1
LCM(4157,4162) = 17301434

Properties of LCM 4157 and 4162

(i) The LCM of 4162 and 4157 is associative

LCM of 4157 and 4162 = LCM of 4162 and 4157

Related Least Common Multiples of 4157

Related Least Common Multiples of 4162

Frequently Asked Questions on LCM of 4157 and 4162

1. What is the LCM of 4157 and 4162?

Answer: LCM of 4157 and 4162 is 17301434.

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 4162?

Answer: Factors of 4162 are 1, 2, 2081, 4162. There are 4 integers that are factors of 4162. The greatest factor of 4162 is 4162.

4. How to Find the LCM of 4157 and 4162?

Answer:

Least Common Multiple of 4157 and 4162 = 17301434

Step 1: Find the prime factorization of 4157

4157 = 4157

Step 2: Find the prime factorization of 4162

4162 = 2 x 2081

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

LCM = 17301434 = 2 x 2081 x 4157

Step 4: Therefore, the least common multiple of 4157 and 4162 is 17301434.