Least Common Multiple of 4168 and 4175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4168 and 4175 the smallest integer that is 17401400 that is divisible by both numbers.

Least Common Multiple (LCM) of 4168 and 4175 is 17401400.

LCM(4168,4175) = 17401400

LCM of 4168 and 4175

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

LCM of:
and

Least Common Multiple of 4168 and 4175

LCM of 4168 and 4175 is 17401400

Least common multiple can be found by multiplying the highest exponent prime factors of 4168 and 4175. First we will calculate the prime factors of 4168 and 4175.

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

Prime Factorization of 4175


5 4175
5 835
167 167
1

Prime factors of 4175 are 5,167. Prime factorization of 4175 in exponential form is:

4175 = 52×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4168 and 4175.

LCM(4168,4175) = 23×52×1671×5211
LCM(4168,4175) = 17401400

Factors of 4168

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

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

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1, 5, 25, 167, 835, 4175

Least Common Multiple of 4168 and 4175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4168 and 4175, than apply into the LCM equation.

GCF(4168,4175) = 1
LCM(4168,4175) = ( 4168 × 4175) / 1
LCM(4168,4175) = 17401400 / 1
LCM(4168,4175) = 17401400

Properties of LCM 4168 and 4175

(i) The LCM of 4175 and 4168 is associative

LCM of 4168 and 4175 = LCM of 4175 and 4168

Related Least Common Multiples of 4168

Related Least Common Multiples of 4175

Frequently Asked Questions on LCM of 4168 and 4175

1. What is the LCM of 4168 and 4175?

Answer: LCM of 4168 and 4175 is 17401400.

2. 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.

3. What are the Factors of 4175?

Answer: Factors of 4175 are 1, 5, 25, 167, 835, 4175. There are 6 integers that are factors of 4175. The greatest factor of 4175 is 4175.

4. How to Find the LCM of 4168 and 4175?

Answer:

Least Common Multiple of 4168 and 4175 = 17401400

Step 1: Find the prime factorization of 4168

4168 = 2 x 2 x 2 x 521

Step 2: Find the prime factorization of 4175

4175 = 5 x 5 x 167

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

LCM = 17401400 = 2 x 2 x 2 x 5 x 5 x 167 x 521

Step 4: Therefore, the least common multiple of 4168 and 4175 is 17401400.