Least Common Multiple of 8272 and 8277

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 8277 the smallest integer that is 68467344 that is divisible by both numbers.

Least Common Multiple (LCM) of 8272 and 8277 is 68467344.

LCM(8272,8277) = 68467344

LCM of 8272 and 8277

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

LCM of:
and

Least Common Multiple of 8272 and 8277

LCM of 8272 and 8277 is 68467344

Least common multiple can be found by multiplying the highest exponent prime factors of 8272 and 8277. First we will calculate the prime factors of 8272 and 8277.

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 8277


3 8277
31 2759
89 89
1

Prime factors of 8277 are 3, 31,89. Prime factorization of 8277 in exponential form is:

8277 = 31×311×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8272 and 8277.

LCM(8272,8277) = 24×31×111×311×471×891
LCM(8272,8277) = 68467344

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 8277

List of positive integer factors of 8277 that divides 8277 without a remainder.

1, 3, 31, 89, 93, 267, 2759, 8277

Least Common Multiple of 8272 and 8277 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 8277, than apply into the LCM equation.

GCF(8272,8277) = 1
LCM(8272,8277) = ( 8272 × 8277) / 1
LCM(8272,8277) = 68467344 / 1
LCM(8272,8277) = 68467344

Properties of LCM 8272 and 8277

(i) The LCM of 8277 and 8272 is associative

LCM of 8272 and 8277 = LCM of 8277 and 8272

Related Least Common Multiples of 8272

Related Least Common Multiples of 8277

Frequently Asked Questions on LCM of 8272 and 8277

1. What is the LCM of 8272 and 8277?

Answer: LCM of 8272 and 8277 is 68467344.

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 8277?

Answer: Factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277. There are 8 integers that are factors of 8277. The greatest factor of 8277 is 8277.

4. How to Find the LCM of 8272 and 8277?

Answer:

Least Common Multiple of 8272 and 8277 = 68467344

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 8277

8277 = 3 x 31 x 89

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

LCM = 68467344 = 2 x 2 x 2 x 2 x 3 x 11 x 31 x 47 x 89

Step 4: Therefore, the least common multiple of 8272 and 8277 is 68467344.