Least Common Multiple of 4163 and 4168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4163 and 4168 the smallest integer that is 17351384 that is divisible by both numbers.

Least Common Multiple (LCM) of 4163 and 4168 is 17351384.

LCM(4163,4168) = 17351384

LCM of 4163 and 4168

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

LCM of:
and

Least Common Multiple of 4163 and 4168

LCM of 4163 and 4168 is 17351384

Least common multiple can be found by multiplying the highest exponent prime factors of 4163 and 4168. First we will calculate the prime factors of 4163 and 4168.

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

Prime Factorization of 4168


2 4168
2 2084
2 1042
521 521
1

Prime factors of 4168 are 2,521. Prime factorization of 4168 in exponential form is:

4168 = 23×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 4163 and 4168.

LCM(4163,4168) = 23×231×1811×5211
LCM(4163,4168) = 17351384

Factors of 4163

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

1, 23, 181, 4163

Factors of 4168

List of positive integer factors of 4168 that divides 4168 without a remainder.

1, 2, 4, 8, 521, 1042, 2084, 4168

Least Common Multiple of 4163 and 4168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4163 and 4168, than apply into the LCM equation.

GCF(4163,4168) = 1
LCM(4163,4168) = ( 4163 × 4168) / 1
LCM(4163,4168) = 17351384 / 1
LCM(4163,4168) = 17351384

Properties of LCM 4163 and 4168

(i) The LCM of 4168 and 4163 is associative

LCM of 4163 and 4168 = LCM of 4168 and 4163

Related Least Common Multiples of 4163

Related Least Common Multiples of 4168

Frequently Asked Questions on LCM of 4163 and 4168

1. What is the LCM of 4163 and 4168?

Answer: LCM of 4163 and 4168 is 17351384.

2. 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.

3. What are the Factors of 4168?

Answer: Factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168. There are 8 integers that are factors of 4168. The greatest factor of 4168 is 4168.

4. How to Find the LCM of 4163 and 4168?

Answer:

Least Common Multiple of 4163 and 4168 = 17351384

Step 1: Find the prime factorization of 4163

4163 = 23 x 181

Step 2: Find the prime factorization of 4168

4168 = 2 x 2 x 2 x 521

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

LCM = 17351384 = 2 x 2 x 2 x 23 x 181 x 521

Step 4: Therefore, the least common multiple of 4163 and 4168 is 17351384.