Least Common Multiple of 8159 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 8159 and 8160 the smallest integer that is 66577440 that is divisible by both numbers.

Least Common Multiple (LCM) of 8159 and 8160 is 66577440.

LCM(8159,8160) = 66577440

LCM of 8159 and 8160

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

LCM of:
and

Least Common Multiple of 8159 and 8160

LCM of 8159 and 8160 is 66577440

Least common multiple can be found by multiplying the highest exponent prime factors of 8159 and 8160. First we will calculate the prime factors of 8159 and 8160.

Prime Factorization of 8159


41 8159
199 199
1

Prime factors of 8159 are 41,199. Prime factorization of 8159 in exponential form is:

8159 = 411×1991

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 8159 and 8160.

LCM(8159,8160) = 25×31×51×171×411×1991
LCM(8159,8160) = 66577440

Factors of 8159

List of positive integer factors of 8159 that divides 8159 without a remainder.

1, 41, 199, 8159

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 8159 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 8159 and 8160, than apply into the LCM equation.

GCF(8159,8160) = 1
LCM(8159,8160) = ( 8159 × 8160) / 1
LCM(8159,8160) = 66577440 / 1
LCM(8159,8160) = 66577440

Properties of LCM 8159 and 8160

(i) The LCM of 8160 and 8159 is associative

LCM of 8159 and 8160 = LCM of 8160 and 8159

Related Least Common Multiples of 8159

Related Least Common Multiples of 8160

Frequently Asked Questions on LCM of 8159 and 8160

1. What is the LCM of 8159 and 8160?

Answer: LCM of 8159 and 8160 is 66577440.

2. What are the Factors of 8159?

Answer: Factors of 8159 are 1, 41, 199, 8159. There are 4 integers that are factors of 8159. The greatest factor of 8159 is 8159.

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 8159 and 8160?

Answer:

Least Common Multiple of 8159 and 8160 = 66577440

Step 1: Find the prime factorization of 8159

8159 = 41 x 199

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 = 66577440 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 41 x 199

Step 4: Therefore, the least common multiple of 8159 and 8160 is 66577440.