Least Common Multiple of 5156 and 5160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5156 and 5160 the smallest integer that is 6651240 that is divisible by both numbers.

Least Common Multiple (LCM) of 5156 and 5160 is 6651240.

LCM(5156,5160) = 6651240

LCM of 5156 and 5160

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

LCM of:
and

Least Common Multiple of 5156 and 5160

LCM of 5156 and 5160 is 6651240

Least common multiple can be found by multiplying the highest exponent prime factors of 5156 and 5160. First we will calculate the prime factors of 5156 and 5160.

Prime Factorization of 5156


2 5156
2 2578
1289 1289
1

Prime factors of 5156 are 2,1289. Prime factorization of 5156 in exponential form is:

5156 = 22×12891

Prime Factorization of 5160


2 5160
2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 5160 are 2, 3, 5,43. Prime factorization of 5160 in exponential form is:

5160 = 23×31×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5156 and 5160.

LCM(5156,5160) = 23×31×51×431×12891
LCM(5156,5160) = 6651240

Factors of 5156

List of positive integer factors of 5156 that divides 5156 without a remainder.

1, 2, 4, 1289, 2578, 5156

Factors of 5160

List of positive integer factors of 5160 that divides 5160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160

Least Common Multiple of 5156 and 5160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5156 and 5160, than apply into the LCM equation.

GCF(5156,5160) = 4
LCM(5156,5160) = ( 5156 × 5160) / 4
LCM(5156,5160) = 26604960 / 4
LCM(5156,5160) = 6651240

Properties of LCM 5156 and 5160

(i) The LCM of 5160 and 5156 is associative

LCM of 5156 and 5160 = LCM of 5160 and 5156

Related Least Common Multiples of 5156

Related Least Common Multiples of 5160

Frequently Asked Questions on LCM of 5156 and 5160

1. What is the LCM of 5156 and 5160?

Answer: LCM of 5156 and 5160 is 6651240.

2. What are the Factors of 5156?

Answer: Factors of 5156 are 1, 2, 4, 1289, 2578, 5156. There are 6 integers that are factors of 5156. The greatest factor of 5156 is 5156.

3. What are the Factors of 5160?

Answer: Factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160. There are 32 integers that are factors of 5160. The greatest factor of 5160 is 5160.

4. How to Find the LCM of 5156 and 5160?

Answer:

Least Common Multiple of 5156 and 5160 = 6651240

Step 1: Find the prime factorization of 5156

5156 = 2 x 2 x 1289

Step 2: Find the prime factorization of 5160

5160 = 2 x 2 x 2 x 3 x 5 x 43

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

LCM = 6651240 = 2 x 2 x 2 x 3 x 5 x 43 x 1289

Step 4: Therefore, the least common multiple of 5156 and 5160 is 6651240.