Least Common Multiple of 8272 and 8276

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 8276 the smallest integer that is 17114768 that is divisible by both numbers.

Least Common Multiple (LCM) of 8272 and 8276 is 17114768.

LCM(8272,8276) = 17114768

LCM of 8272 and 8276

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

LCM of:
and

Least Common Multiple of 8272 and 8276

LCM of 8272 and 8276 is 17114768

Least common multiple can be found by multiplying the highest exponent prime factors of 8272 and 8276. First we will calculate the prime factors of 8272 and 8276.

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 8276


2 8276
2 4138
2069 2069
1

Prime factors of 8276 are 2,2069. Prime factorization of 8276 in exponential form is:

8276 = 22×20691

Now multiplying the highest exponent prime factors to calculate the LCM of 8272 and 8276.

LCM(8272,8276) = 24×111×471×20691
LCM(8272,8276) = 17114768

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 8276

List of positive integer factors of 8276 that divides 8276 without a remainder.

1, 2, 4, 2069, 4138, 8276

Least Common Multiple of 8272 and 8276 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 8276, than apply into the LCM equation.

GCF(8272,8276) = 4
LCM(8272,8276) = ( 8272 × 8276) / 4
LCM(8272,8276) = 68459072 / 4
LCM(8272,8276) = 17114768

Properties of LCM 8272 and 8276

(i) The LCM of 8276 and 8272 is associative

LCM of 8272 and 8276 = LCM of 8276 and 8272

Related Least Common Multiples of 8272

Related Least Common Multiples of 8276

Frequently Asked Questions on LCM of 8272 and 8276

1. What is the LCM of 8272 and 8276?

Answer: LCM of 8272 and 8276 is 17114768.

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 8276?

Answer: Factors of 8276 are 1, 2, 4, 2069, 4138, 8276. There are 6 integers that are factors of 8276. The greatest factor of 8276 is 8276.

4. How to Find the LCM of 8272 and 8276?

Answer:

Least Common Multiple of 8272 and 8276 = 17114768

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 8276

8276 = 2 x 2 x 2069

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

LCM = 17114768 = 2 x 2 x 2 x 2 x 11 x 47 x 2069

Step 4: Therefore, the least common multiple of 8272 and 8276 is 17114768.