Least Common Multiple of 8272 and 8275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8272 and 8275 the smallest integer that is 68450800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8272 and 8275 is 68450800.

LCM(8272,8275) = 68450800

LCM of 8272 and 8275

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

LCM of:
and

Least Common Multiple of 8272 and 8275

LCM of 8272 and 8275 is 68450800

Least common multiple can be found by multiplying the highest exponent prime factors of 8272 and 8275. First we will calculate the prime factors of 8272 and 8275.

Prime Factorization of 8272


2 8272
2 4136
2 2068
2 1034
11 517
47 47
1

Prime factors of 8272 are 2, 11,47. Prime factorization of 8272 in exponential form is:

8272 = 24×111×471

Prime Factorization of 8275


5 8275
5 1655
331 331
1

Prime factors of 8275 are 5,331. Prime factorization of 8275 in exponential form is:

8275 = 52×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 8272 and 8275.

LCM(8272,8275) = 24×52×111×471×3311
LCM(8272,8275) = 68450800

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272

Factors of 8275

List of positive integer factors of 8275 that divides 8275 without a remainder.

1, 5, 25, 331, 1655, 8275

Least Common Multiple of 8272 and 8275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8272 and 8275, than apply into the LCM equation.

GCF(8272,8275) = 1
LCM(8272,8275) = ( 8272 × 8275) / 1
LCM(8272,8275) = 68450800 / 1
LCM(8272,8275) = 68450800

Properties of LCM 8272 and 8275

(i) The LCM of 8275 and 8272 is associative

LCM of 8272 and 8275 = LCM of 8275 and 8272

Related Least Common Multiples of 8272

Related Least Common Multiples of 8275

Frequently Asked Questions on LCM of 8272 and 8275

1. What is the LCM of 8272 and 8275?

Answer: LCM of 8272 and 8275 is 68450800.

2. What are the Factors of 8272?

Answer: Factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272. There are 20 integers that are factors of 8272. The greatest factor of 8272 is 8272.

3. What are the Factors of 8275?

Answer: Factors of 8275 are 1, 5, 25, 331, 1655, 8275. There are 6 integers that are factors of 8275. The greatest factor of 8275 is 8275.

4. How to Find the LCM of 8272 and 8275?

Answer:

Least Common Multiple of 8272 and 8275 = 68450800

Step 1: Find the prime factorization of 8272

8272 = 2 x 2 x 2 x 2 x 11 x 47

Step 2: Find the prime factorization of 8275

8275 = 5 x 5 x 331

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

LCM = 68450800 = 2 x 2 x 2 x 2 x 5 x 5 x 11 x 47 x 331

Step 4: Therefore, the least common multiple of 8272 and 8275 is 68450800.