Least Common Multiple of 8156 and 8160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8156 and 8160 the smallest integer that is 16638240 that is divisible by both numbers.

Least Common Multiple (LCM) of 8156 and 8160 is 16638240.

LCM(8156,8160) = 16638240

LCM of 8156 and 8160

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

LCM of:
and

Least Common Multiple of 8156 and 8160

LCM of 8156 and 8160 is 16638240

Least common multiple can be found by multiplying the highest exponent prime factors of 8156 and 8160. First we will calculate the prime factors of 8156 and 8160.

Prime Factorization of 8156


2 8156
2 4078
2039 2039
1

Prime factors of 8156 are 2,2039. Prime factorization of 8156 in exponential form is:

8156 = 22×20391

Prime Factorization of 8160


2 8160
2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 8160 are 2, 3, 5,17. Prime factorization of 8160 in exponential form is:

8160 = 25×31×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8156 and 8160.

LCM(8156,8160) = 25×31×51×171×20391
LCM(8156,8160) = 16638240

Factors of 8156

List of positive integer factors of 8156 that divides 8156 without a remainder.

1, 2, 4, 2039, 4078, 8156

Factors of 8160

List of positive integer factors of 8160 that divides 8160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160

Least Common Multiple of 8156 and 8160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8156 and 8160, than apply into the LCM equation.

GCF(8156,8160) = 4
LCM(8156,8160) = ( 8156 × 8160) / 4
LCM(8156,8160) = 66552960 / 4
LCM(8156,8160) = 16638240

Properties of LCM 8156 and 8160

(i) The LCM of 8160 and 8156 is associative

LCM of 8156 and 8160 = LCM of 8160 and 8156

Related Least Common Multiples of 8156

Related Least Common Multiples of 8160

Frequently Asked Questions on LCM of 8156 and 8160

1. What is the LCM of 8156 and 8160?

Answer: LCM of 8156 and 8160 is 16638240.

2. What are the Factors of 8156?

Answer: Factors of 8156 are 1, 2, 4, 2039, 4078, 8156. There are 6 integers that are factors of 8156. The greatest factor of 8156 is 8156.

3. What are the Factors of 8160?

Answer: Factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160. There are 48 integers that are factors of 8160. The greatest factor of 8160 is 8160.

4. How to Find the LCM of 8156 and 8160?

Answer:

Least Common Multiple of 8156 and 8160 = 16638240

Step 1: Find the prime factorization of 8156

8156 = 2 x 2 x 2039

Step 2: Find the prime factorization of 8160

8160 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17

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

LCM = 16638240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 2039

Step 4: Therefore, the least common multiple of 8156 and 8160 is 16638240.