Least Common Multiple of 8267 and 8272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8267 and 8272 the smallest integer that is 68384624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8267 and 8272 is 68384624.

LCM(8267,8272) = 68384624

LCM of 8267 and 8272

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

LCM of:
and

Least Common Multiple of 8267 and 8272

LCM of 8267 and 8272 is 68384624

Least common multiple can be found by multiplying the highest exponent prime factors of 8267 and 8272. First we will calculate the prime factors of 8267 and 8272.

Prime Factorization of 8267


7 8267
1181 1181
1

Prime factors of 8267 are 7,1181. Prime factorization of 8267 in exponential form is:

8267 = 71×11811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8267 and 8272.

LCM(8267,8272) = 24×71×111×471×11811
LCM(8267,8272) = 68384624

Factors of 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1, 7, 1181, 8267

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

Least Common Multiple of 8267 and 8272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8267 and 8272, than apply into the LCM equation.

GCF(8267,8272) = 1
LCM(8267,8272) = ( 8267 × 8272) / 1
LCM(8267,8272) = 68384624 / 1
LCM(8267,8272) = 68384624

Properties of LCM 8267 and 8272

(i) The LCM of 8272 and 8267 is associative

LCM of 8267 and 8272 = LCM of 8272 and 8267

Related Least Common Multiples of 8267

Related Least Common Multiples of 8272

Frequently Asked Questions on LCM of 8267 and 8272

1. What is the LCM of 8267 and 8272?

Answer: LCM of 8267 and 8272 is 68384624.

2. What are the Factors of 8267?

Answer: Factors of 8267 are 1, 7, 1181, 8267. There are 4 integers that are factors of 8267. The greatest factor of 8267 is 8267.

3. 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.

4. How to Find the LCM of 8267 and 8272?

Answer:

Least Common Multiple of 8267 and 8272 = 68384624

Step 1: Find the prime factorization of 8267

8267 = 7 x 1181

Step 2: Find the prime factorization of 8272

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

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

LCM = 68384624 = 2 x 2 x 2 x 2 x 7 x 11 x 47 x 1181

Step 4: Therefore, the least common multiple of 8267 and 8272 is 68384624.