Least Common Multiple of 26315 and 26322

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

• Least Common Multiple of 26315 and 26322 by Prime method
• Least Common Multiple of 26315 and 26322 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 26315 and 26322. First we will calculate the prime factors of 26315 and 26322.

Prime Factorization of 26315

Prime factors of 26315 are 5, 19,277. Prime factorization of 26315 in exponential form is:

26315 = 5¹×19¹×277¹

Prime Factorization of 26322

Prime factors of 26322 are 2, 3, 41,107. Prime factorization of 26322 in exponential form is:

26322 = 2¹×3¹×41¹×107¹

Now multiplying the highest exponent prime factors to calculate the LCM of 26315 and 26322.

LCM(26315,26322) = 2¹×3¹×5¹×19¹×41¹×107¹×277¹
LCM(26315,26322) = 692663430

Factors of 26315

List of positive integer factors of 26315 that divides 26315 without a remainder.

1, 5, 19, 95, 277, 1385, 5263, 26315

Factors of 26322

List of positive integer factors of 26322 that divides 26322 without a remainder.

1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161, 26322

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26315 and 26322, than apply into the LCM equation.

GCF(26315,26322) = 1
LCM(26315,26322) = ( 26315 × 26322) / 1
LCM(26315,26322) = 692663430 / 1
LCM(26315,26322) = 692663430

(i) The LCM of 26322 and 26315 is associative

LCM of 26315 and 26322 = LCM of 26322 and 26315

1. What is the LCM of 26315 and 26322?

Answer: LCM of 26315 and 26322 is 692663430.

2. What are the Factors of 26315?

Answer: Factors of 26315 are 1, 5, 19, 95, 277, 1385, 5263, 26315. There are 8 integers that are factors of 26315. The greatest factor of 26315 is 26315.

3. What are the Factors of 26322?

Answer: Factors of 26322 are 1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161, 26322. There are 16 integers that are factors of 26322. The greatest factor of 26322 is 26322.

4. How to Find the LCM of 26315 and 26322?

Answer:

Least Common Multiple of 26315 and 26322 = 692663430

Step 1: Find the prime factorization of 26315

26315 = 5 x 19 x 277

Step 2: Find the prime factorization of 26322

26322 = 2 x 3 x 41 x 107

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

LCM = 692663430 = 2 x 3 x 5 x 19 x 41 x 107 x 277

Step 4: Therefore, the least common multiple of 26315 and 26322 is 692663430.