Least Common Multiple of 8262 and 8264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8262 and 8264 the smallest integer that is 34138584 that is divisible by both numbers.

Least Common Multiple (LCM) of 8262 and 8264 is 34138584.

LCM(8262,8264) = 34138584

LCM of 8262 and 8264

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

LCM of:
and

Least Common Multiple of 8262 and 8264

LCM of 8262 and 8264 is 34138584

Least common multiple can be found by multiplying the highest exponent prime factors of 8262 and 8264. First we will calculate the prime factors of 8262 and 8264.

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

Prime Factorization of 8264


2 8264
2 4132
2 2066
1033 1033
1

Prime factors of 8264 are 2,1033. Prime factorization of 8264 in exponential form is:

8264 = 23×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 8262 and 8264.

LCM(8262,8264) = 23×35×171×10331
LCM(8262,8264) = 34138584

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

Factors of 8264

List of positive integer factors of 8264 that divides 8264 without a remainder.

1, 2, 4, 8, 1033, 2066, 4132, 8264

Least Common Multiple of 8262 and 8264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8262 and 8264, than apply into the LCM equation.

GCF(8262,8264) = 2
LCM(8262,8264) = ( 8262 × 8264) / 2
LCM(8262,8264) = 68277168 / 2
LCM(8262,8264) = 34138584

Properties of LCM 8262 and 8264

(i) The LCM of 8264 and 8262 is associative

LCM of 8262 and 8264 = LCM of 8264 and 8262

Related Least Common Multiples of 8262

Related Least Common Multiples of 8264

Frequently Asked Questions on LCM of 8262 and 8264

1. What is the LCM of 8262 and 8264?

Answer: LCM of 8262 and 8264 is 34138584.

2. 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.

3. What are the Factors of 8264?

Answer: Factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264. There are 8 integers that are factors of 8264. The greatest factor of 8264 is 8264.

4. How to Find the LCM of 8262 and 8264?

Answer:

Least Common Multiple of 8262 and 8264 = 34138584

Step 1: Find the prime factorization of 8262

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

Step 2: Find the prime factorization of 8264

8264 = 2 x 2 x 2 x 1033

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

LCM = 34138584 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 17 x 1033

Step 4: Therefore, the least common multiple of 8262 and 8264 is 34138584.