Least Common Multiple of 8152 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 8152 and 8160 the smallest integer that is 8315040 that is divisible by both numbers.

Least Common Multiple (LCM) of 8152 and 8160 is 8315040.

LCM(8152,8160) = 8315040

LCM of 8152 and 8160

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

LCM of:
and

Least Common Multiple of 8152 and 8160

LCM of 8152 and 8160 is 8315040

Least common multiple can be found by multiplying the highest exponent prime factors of 8152 and 8160. First we will calculate the prime factors of 8152 and 8160.

Prime Factorization of 8152


2 8152
2 4076
2 2038
1019 1019
1

Prime factors of 8152 are 2,1019. Prime factorization of 8152 in exponential form is:

8152 = 23×10191

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 8152 and 8160.

LCM(8152,8160) = 25×31×51×171×10191
LCM(8152,8160) = 8315040

Factors of 8152

List of positive integer factors of 8152 that divides 8152 without a remainder.

1, 2, 4, 8, 1019, 2038, 4076, 8152

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 8152 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 8152 and 8160, than apply into the LCM equation.

GCF(8152,8160) = 8
LCM(8152,8160) = ( 8152 × 8160) / 8
LCM(8152,8160) = 66520320 / 8
LCM(8152,8160) = 8315040

Properties of LCM 8152 and 8160

(i) The LCM of 8160 and 8152 is associative

LCM of 8152 and 8160 = LCM of 8160 and 8152

Related Least Common Multiples of 8152

Related Least Common Multiples of 8160

Frequently Asked Questions on LCM of 8152 and 8160

1. What is the LCM of 8152 and 8160?

Answer: LCM of 8152 and 8160 is 8315040.

2. What are the Factors of 8152?

Answer: Factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152. There are 8 integers that are factors of 8152. The greatest factor of 8152 is 8152.

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 8152 and 8160?

Answer:

Least Common Multiple of 8152 and 8160 = 8315040

Step 1: Find the prime factorization of 8152

8152 = 2 x 2 x 2 x 1019

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 = 8315040 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 1019

Step 4: Therefore, the least common multiple of 8152 and 8160 is 8315040.