Least Common Multiple of 4157 and 4160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4157 and 4160 the smallest integer that is 17293120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4157 and 4160 is 17293120.

LCM(4157,4160) = 17293120

LCM of 4157 and 4160

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

LCM of:
and

Least Common Multiple of 4157 and 4160

LCM of 4157 and 4160 is 17293120

Least common multiple can be found by multiplying the highest exponent prime factors of 4157 and 4160. First we will calculate the prime factors of 4157 and 4160.

Prime Factorization of 4157


4157 4157
1

Prime factors of 4157 are 4157. Prime factorization of 4157 in exponential form is:

4157 = 41571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4157 and 4160.

LCM(4157,4160) = 26×51×131×41571
LCM(4157,4160) = 17293120

Factors of 4157

List of positive integer factors of 4157 that divides 4157 without a remainder.

1, 4157

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

Least Common Multiple of 4157 and 4160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4157 and 4160, than apply into the LCM equation.

GCF(4157,4160) = 1
LCM(4157,4160) = ( 4157 × 4160) / 1
LCM(4157,4160) = 17293120 / 1
LCM(4157,4160) = 17293120

Properties of LCM 4157 and 4160

(i) The LCM of 4160 and 4157 is associative

LCM of 4157 and 4160 = LCM of 4160 and 4157

Related Least Common Multiples of 4157

Related Least Common Multiples of 4160

Frequently Asked Questions on LCM of 4157 and 4160

1. What is the LCM of 4157 and 4160?

Answer: LCM of 4157 and 4160 is 17293120.

2. What are the Factors of 4157?

Answer: Factors of 4157 are 1, 4157. There are 2 integers that are factors of 4157. The greatest factor of 4157 is 4157.

3. 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.

4. How to Find the LCM of 4157 and 4160?

Answer:

Least Common Multiple of 4157 and 4160 = 17293120

Step 1: Find the prime factorization of 4157

4157 = 4157

Step 2: Find the prime factorization of 4160

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

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

LCM = 17293120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 4157

Step 4: Therefore, the least common multiple of 4157 and 4160 is 17293120.