Least Common Multiple of 8269 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 8269 and 8277 the smallest integer that is 68442513 that is divisible by both numbers.

Least Common Multiple (LCM) of 8269 and 8277 is 68442513.

LCM(8269,8277) = 68442513

LCM of 8269 and 8277

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

LCM of:
and

Least Common Multiple of 8269 and 8277

LCM of 8269 and 8277 is 68442513

Least common multiple can be found by multiplying the highest exponent prime factors of 8269 and 8277. First we will calculate the prime factors of 8269 and 8277.

Prime Factorization of 8269


8269 8269
1

Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:

8269 = 82691

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 8269 and 8277.

LCM(8269,8277) = 31×311×891×82691
LCM(8269,8277) = 68442513

Factors of 8269

List of positive integer factors of 8269 that divides 8269 without a remainder.

1, 8269

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 8269 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 8269 and 8277, than apply into the LCM equation.

GCF(8269,8277) = 1
LCM(8269,8277) = ( 8269 × 8277) / 1
LCM(8269,8277) = 68442513 / 1
LCM(8269,8277) = 68442513

Properties of LCM 8269 and 8277

(i) The LCM of 8277 and 8269 is associative

LCM of 8269 and 8277 = LCM of 8277 and 8269

Related Least Common Multiples of 8269

Related Least Common Multiples of 8277

Frequently Asked Questions on LCM of 8269 and 8277

1. What is the LCM of 8269 and 8277?

Answer: LCM of 8269 and 8277 is 68442513.

2. What are the Factors of 8269?

Answer: Factors of 8269 are 1, 8269. There are 2 integers that are factors of 8269. The greatest factor of 8269 is 8269.

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 8269 and 8277?

Answer:

Least Common Multiple of 8269 and 8277 = 68442513

Step 1: Find the prime factorization of 8269

8269 = 8269

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 = 68442513 = 3 x 31 x 89 x 8269

Step 4: Therefore, the least common multiple of 8269 and 8277 is 68442513.