Least Common Multiple of 4163 and 4167

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 4167 the smallest integer that is 17347221 that is divisible by both numbers.

Least Common Multiple (LCM) of 4163 and 4167 is 17347221.

LCM(4163,4167) = 17347221

LCM of 4163 and 4167

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

LCM of:
and

Least Common Multiple of 4163 and 4167

LCM of 4163 and 4167 is 17347221

Least common multiple can be found by multiplying the highest exponent prime factors of 4163 and 4167. First we will calculate the prime factors of 4163 and 4167.

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 4167


3 4167
3 1389
463 463
1

Prime factors of 4167 are 3,463. Prime factorization of 4167 in exponential form is:

4167 = 32×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 4163 and 4167.

LCM(4163,4167) = 32×231×1811×4631
LCM(4163,4167) = 17347221

Factors of 4163

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

1, 23, 181, 4163

Factors of 4167

List of positive integer factors of 4167 that divides 4167 without a remainder.

1, 3, 9, 463, 1389, 4167

Least Common Multiple of 4163 and 4167 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 4167, than apply into the LCM equation.

GCF(4163,4167) = 1
LCM(4163,4167) = ( 4163 × 4167) / 1
LCM(4163,4167) = 17347221 / 1
LCM(4163,4167) = 17347221

Properties of LCM 4163 and 4167

(i) The LCM of 4167 and 4163 is associative

LCM of 4163 and 4167 = LCM of 4167 and 4163

Related Least Common Multiples of 4163

Related Least Common Multiples of 4167

Frequently Asked Questions on LCM of 4163 and 4167

1. What is the LCM of 4163 and 4167?

Answer: LCM of 4163 and 4167 is 17347221.

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 4167?

Answer: Factors of 4167 are 1, 3, 9, 463, 1389, 4167. There are 6 integers that are factors of 4167. The greatest factor of 4167 is 4167.

4. How to Find the LCM of 4163 and 4167?

Answer:

Least Common Multiple of 4163 and 4167 = 17347221

Step 1: Find the prime factorization of 4163

4163 = 23 x 181

Step 2: Find the prime factorization of 4167

4167 = 3 x 3 x 463

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

LCM = 17347221 = 3 x 3 x 23 x 181 x 463

Step 4: Therefore, the least common multiple of 4163 and 4167 is 17347221.