Least Common Multiple of 8277 and 8283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8277 and 8283 the smallest integer that is 22852797 that is divisible by both numbers.

Least Common Multiple (LCM) of 8277 and 8283 is 22852797.

LCM(8277,8283) = 22852797

LCM of 8277 and 8283

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

LCM of:
and

Least Common Multiple of 8277 and 8283

LCM of 8277 and 8283 is 22852797

Least common multiple can be found by multiplying the highest exponent prime factors of 8277 and 8283. First we will calculate the prime factors of 8277 and 8283.

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

Prime Factorization of 8283


3 8283
11 2761
251 251
1

Prime factors of 8283 are 3, 11,251. Prime factorization of 8283 in exponential form is:

8283 = 31×111×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 8277 and 8283.

LCM(8277,8283) = 31×111×311×891×2511
LCM(8277,8283) = 22852797

Factors of 8277

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

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

Factors of 8283

List of positive integer factors of 8283 that divides 8283 without a remainder.

1, 3, 11, 33, 251, 753, 2761, 8283

Least Common Multiple of 8277 and 8283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8277 and 8283, than apply into the LCM equation.

GCF(8277,8283) = 3
LCM(8277,8283) = ( 8277 × 8283) / 3
LCM(8277,8283) = 68558391 / 3
LCM(8277,8283) = 22852797

Properties of LCM 8277 and 8283

(i) The LCM of 8283 and 8277 is associative

LCM of 8277 and 8283 = LCM of 8283 and 8277

Related Least Common Multiples of 8277

Related Least Common Multiples of 8283

Frequently Asked Questions on LCM of 8277 and 8283

1. What is the LCM of 8277 and 8283?

Answer: LCM of 8277 and 8283 is 22852797.

2. 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.

3. What are the Factors of 8283?

Answer: Factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283. There are 8 integers that are factors of 8283. The greatest factor of 8283 is 8283.

4. How to Find the LCM of 8277 and 8283?

Answer:

Least Common Multiple of 8277 and 8283 = 22852797

Step 1: Find the prime factorization of 8277

8277 = 3 x 31 x 89

Step 2: Find the prime factorization of 8283

8283 = 3 x 11 x 251

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

LCM = 22852797 = 3 x 11 x 31 x 89 x 251

Step 4: Therefore, the least common multiple of 8277 and 8283 is 22852797.