Least Common Multiple of 4160 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 4160 and 4168 the smallest integer that is 2167360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4160 and 4168 is 2167360.

LCM(4160,4168) = 2167360

LCM of 4160 and 4168

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

LCM of:
and

Least Common Multiple of 4160 and 4168

LCM of 4160 and 4168 is 2167360

Least common multiple can be found by multiplying the highest exponent prime factors of 4160 and 4168. First we will calculate the prime factors of 4160 and 4168.

Prime Factorization of 4160


2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 4160 are 2, 5,13. Prime factorization of 4160 in exponential form is:

4160 = 26×51×131

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 4160 and 4168.

LCM(4160,4168) = 26×51×131×5211
LCM(4160,4168) = 2167360

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160

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 4160 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 4160 and 4168, than apply into the LCM equation.

GCF(4160,4168) = 8
LCM(4160,4168) = ( 4160 × 4168) / 8
LCM(4160,4168) = 17338880 / 8
LCM(4160,4168) = 2167360

Properties of LCM 4160 and 4168

(i) The LCM of 4168 and 4160 is associative

LCM of 4160 and 4168 = LCM of 4168 and 4160

Related Least Common Multiples of 4160

Related Least Common Multiples of 4168

Frequently Asked Questions on LCM of 4160 and 4168

1. What is the LCM of 4160 and 4168?

Answer: LCM of 4160 and 4168 is 2167360.

2. What are the Factors of 4160?

Answer: Factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160. There are 28 integers that are factors of 4160. The greatest factor of 4160 is 4160.

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 4160 and 4168?

Answer:

Least Common Multiple of 4160 and 4168 = 2167360

Step 1: Find the prime factorization of 4160

4160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

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 = 2167360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 521

Step 4: Therefore, the least common multiple of 4160 and 4168 is 2167360.