Least Common Multiple of 4161 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 4161 and 4168 the smallest integer that is 17343048 that is divisible by both numbers.

Least Common Multiple (LCM) of 4161 and 4168 is 17343048.

LCM(4161,4168) = 17343048

LCM of 4161 and 4168

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

LCM of:
and

Least Common Multiple of 4161 and 4168

LCM of 4161 and 4168 is 17343048

Least common multiple can be found by multiplying the highest exponent prime factors of 4161 and 4168. First we will calculate the prime factors of 4161 and 4168.

Prime Factorization of 4161


3 4161
19 1387
73 73
1

Prime factors of 4161 are 3, 19,73. Prime factorization of 4161 in exponential form is:

4161 = 31×191×731

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 4161 and 4168.

LCM(4161,4168) = 23×31×191×731×5211
LCM(4161,4168) = 17343048

Factors of 4161

List of positive integer factors of 4161 that divides 4161 without a remainder.

1, 3, 19, 57, 73, 219, 1387, 4161

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 4161 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 4161 and 4168, than apply into the LCM equation.

GCF(4161,4168) = 1
LCM(4161,4168) = ( 4161 × 4168) / 1
LCM(4161,4168) = 17343048 / 1
LCM(4161,4168) = 17343048

Properties of LCM 4161 and 4168

(i) The LCM of 4168 and 4161 is associative

LCM of 4161 and 4168 = LCM of 4168 and 4161

Related Least Common Multiples of 4161

Related Least Common Multiples of 4168

Frequently Asked Questions on LCM of 4161 and 4168

1. What is the LCM of 4161 and 4168?

Answer: LCM of 4161 and 4168 is 17343048.

2. What are the Factors of 4161?

Answer: Factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161. There are 8 integers that are factors of 4161. The greatest factor of 4161 is 4161.

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 4161 and 4168?

Answer:

Least Common Multiple of 4161 and 4168 = 17343048

Step 1: Find the prime factorization of 4161

4161 = 3 x 19 x 73

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 = 17343048 = 2 x 2 x 2 x 3 x 19 x 73 x 521

Step 4: Therefore, the least common multiple of 4161 and 4168 is 17343048.