Least Common Multiple of 8269 and 8274

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 8274 the smallest integer that is 68417706 that is divisible by both numbers.

Least Common Multiple (LCM) of 8269 and 8274 is 68417706.

LCM(8269,8274) = 68417706

LCM of 8269 and 8274

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

LCM of:
and

Least Common Multiple of 8269 and 8274

LCM of 8269 and 8274 is 68417706

Least common multiple can be found by multiplying the highest exponent prime factors of 8269 and 8274. First we will calculate the prime factors of 8269 and 8274.

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 8274


2 8274
3 4137
7 1379
197 197
1

Prime factors of 8274 are 2, 3, 7,197. Prime factorization of 8274 in exponential form is:

8274 = 21×31×71×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 8269 and 8274.

LCM(8269,8274) = 21×31×71×1971×82691
LCM(8269,8274) = 68417706

Factors of 8269

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

1, 8269

Factors of 8274

List of positive integer factors of 8274 that divides 8274 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274

Least Common Multiple of 8269 and 8274 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 8274, than apply into the LCM equation.

GCF(8269,8274) = 1
LCM(8269,8274) = ( 8269 × 8274) / 1
LCM(8269,8274) = 68417706 / 1
LCM(8269,8274) = 68417706

Properties of LCM 8269 and 8274

(i) The LCM of 8274 and 8269 is associative

LCM of 8269 and 8274 = LCM of 8274 and 8269

Related Least Common Multiples of 8269

Related Least Common Multiples of 8274

Frequently Asked Questions on LCM of 8269 and 8274

1. What is the LCM of 8269 and 8274?

Answer: LCM of 8269 and 8274 is 68417706.

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 8274?

Answer: Factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274. There are 16 integers that are factors of 8274. The greatest factor of 8274 is 8274.

4. How to Find the LCM of 8269 and 8274?

Answer:

Least Common Multiple of 8269 and 8274 = 68417706

Step 1: Find the prime factorization of 8269

8269 = 8269

Step 2: Find the prime factorization of 8274

8274 = 2 x 3 x 7 x 197

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

LCM = 68417706 = 2 x 3 x 7 x 197 x 8269

Step 4: Therefore, the least common multiple of 8269 and 8274 is 68417706.