Least Common Multiple of 8272 and 8273

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 8273 the smallest integer that is 68434256 that is divisible by both numbers.

Least Common Multiple (LCM) of 8272 and 8273 is 68434256.

LCM(8272,8273) = 68434256

LCM of 8272 and 8273

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

LCM of:
and

Least Common Multiple of 8272 and 8273

LCM of 8272 and 8273 is 68434256

Least common multiple can be found by multiplying the highest exponent prime factors of 8272 and 8273. First we will calculate the prime factors of 8272 and 8273.

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 8273


8273 8273
1

Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:

8273 = 82731

Now multiplying the highest exponent prime factors to calculate the LCM of 8272 and 8273.

LCM(8272,8273) = 24×111×471×82731
LCM(8272,8273) = 68434256

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 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

1, 8273

Least Common Multiple of 8272 and 8273 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 8273, than apply into the LCM equation.

GCF(8272,8273) = 1
LCM(8272,8273) = ( 8272 × 8273) / 1
LCM(8272,8273) = 68434256 / 1
LCM(8272,8273) = 68434256

Properties of LCM 8272 and 8273

(i) The LCM of 8273 and 8272 is associative

LCM of 8272 and 8273 = LCM of 8273 and 8272

Related Least Common Multiples of 8272

Related Least Common Multiples of 8273

Frequently Asked Questions on LCM of 8272 and 8273

1. What is the LCM of 8272 and 8273?

Answer: LCM of 8272 and 8273 is 68434256.

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 8273?

Answer: Factors of 8273 are 1, 8273. There are 2 integers that are factors of 8273. The greatest factor of 8273 is 8273.

4. How to Find the LCM of 8272 and 8273?

Answer:

Least Common Multiple of 8272 and 8273 = 68434256

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 8273

8273 = 8273

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

LCM = 68434256 = 2 x 2 x 2 x 2 x 11 x 47 x 8273

Step 4: Therefore, the least common multiple of 8272 and 8273 is 68434256.