Least Common Multiple of 8160 and 8164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8160 and 8164 the smallest integer that is 16654560 that is divisible by both numbers.

Least Common Multiple (LCM) of 8160 and 8164 is 16654560.

LCM(8160,8164) = 16654560

LCM of 8160 and 8164

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

LCM of:
and

Least Common Multiple of 8160 and 8164

LCM of 8160 and 8164 is 16654560

Least common multiple can be found by multiplying the highest exponent prime factors of 8160 and 8164. First we will calculate the prime factors of 8160 and 8164.

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

Prime Factorization of 8164


2 8164
2 4082
13 2041
157 157
1

Prime factors of 8164 are 2, 13,157. Prime factorization of 8164 in exponential form is:

8164 = 22×131×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8160 and 8164.

LCM(8160,8164) = 25×31×51×131×171×1571
LCM(8160,8164) = 16654560

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

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164

Least Common Multiple of 8160 and 8164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8160 and 8164, than apply into the LCM equation.

GCF(8160,8164) = 4
LCM(8160,8164) = ( 8160 × 8164) / 4
LCM(8160,8164) = 66618240 / 4
LCM(8160,8164) = 16654560

Properties of LCM 8160 and 8164

(i) The LCM of 8164 and 8160 is associative

LCM of 8160 and 8164 = LCM of 8164 and 8160

Related Least Common Multiples of 8160

Related Least Common Multiples of 8164

Frequently Asked Questions on LCM of 8160 and 8164

1. What is the LCM of 8160 and 8164?

Answer: LCM of 8160 and 8164 is 16654560.

2. 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.

3. What are the Factors of 8164?

Answer: Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. There are 12 integers that are factors of 8164. The greatest factor of 8164 is 8164.

4. How to Find the LCM of 8160 and 8164?

Answer:

Least Common Multiple of 8160 and 8164 = 16654560

Step 1: Find the prime factorization of 8160

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

Step 2: Find the prime factorization of 8164

8164 = 2 x 2 x 13 x 157

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

LCM = 16654560 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 x 157

Step 4: Therefore, the least common multiple of 8160 and 8164 is 16654560.