Least Common Multiple of 8254 and 8262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8254 and 8262 the smallest integer that is 34097274 that is divisible by both numbers.

Least Common Multiple (LCM) of 8254 and 8262 is 34097274.

LCM(8254,8262) = 34097274

LCM of 8254 and 8262

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

LCM of:
and

Least Common Multiple of 8254 and 8262

LCM of 8254 and 8262 is 34097274

Least common multiple can be found by multiplying the highest exponent prime factors of 8254 and 8262. First we will calculate the prime factors of 8254 and 8262.

Prime Factorization of 8254


2 8254
4127 4127
1

Prime factors of 8254 are 2,4127. Prime factorization of 8254 in exponential form is:

8254 = 21×41271

Prime Factorization of 8262


2 8262
3 4131
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 8262 are 2, 3,17. Prime factorization of 8262 in exponential form is:

8262 = 21×35×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8254 and 8262.

LCM(8254,8262) = 21×35×171×41271
LCM(8254,8262) = 34097274

Factors of 8254

List of positive integer factors of 8254 that divides 8254 without a remainder.

1, 2, 4127, 8254

Factors of 8262

List of positive integer factors of 8262 that divides 8262 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262

Least Common Multiple of 8254 and 8262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8254 and 8262, than apply into the LCM equation.

GCF(8254,8262) = 2
LCM(8254,8262) = ( 8254 × 8262) / 2
LCM(8254,8262) = 68194548 / 2
LCM(8254,8262) = 34097274

Properties of LCM 8254 and 8262

(i) The LCM of 8262 and 8254 is associative

LCM of 8254 and 8262 = LCM of 8262 and 8254

Related Least Common Multiples of 8254

Related Least Common Multiples of 8262

Frequently Asked Questions on LCM of 8254 and 8262

1. What is the LCM of 8254 and 8262?

Answer: LCM of 8254 and 8262 is 34097274.

2. What are the Factors of 8254?

Answer: Factors of 8254 are 1, 2, 4127, 8254. There are 4 integers that are factors of 8254. The greatest factor of 8254 is 8254.

3. What are the Factors of 8262?

Answer: Factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262. There are 24 integers that are factors of 8262. The greatest factor of 8262 is 8262.

4. How to Find the LCM of 8254 and 8262?

Answer:

Least Common Multiple of 8254 and 8262 = 34097274

Step 1: Find the prime factorization of 8254

8254 = 2 x 4127

Step 2: Find the prime factorization of 8262

8262 = 2 x 3 x 3 x 3 x 3 x 3 x 17

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

LCM = 34097274 = 2 x 3 x 3 x 3 x 3 x 3 x 17 x 4127

Step 4: Therefore, the least common multiple of 8254 and 8262 is 34097274.