Least Common Multiple of 26319 and 26326

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

• Least Common Multiple of 26319 and 26326 by Prime method
• Least Common Multiple of 26319 and 26326 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 26319 and 26326. First we will calculate the prime factors of 26319 and 26326.

Prime Factorization of 26319

Prime factors of 26319 are 3, 31,283. Prime factorization of 26319 in exponential form is:

26319 = 3¹×31¹×283¹

Prime Factorization of 26326

Prime factors of 26326 are 2,13163. Prime factorization of 26326 in exponential form is:

26326 = 2¹×13163¹

Now multiplying the highest exponent prime factors to calculate the LCM of 26319 and 26326.

LCM(26319,26326) = 2¹×3¹×31¹×283¹×13163¹
LCM(26319,26326) = 692873994

Factors of 26319

List of positive integer factors of 26319 that divides 26319 without a remainder.

1, 3, 31, 93, 283, 849, 8773, 26319

Factors of 26326

List of positive integer factors of 26326 that divides 26326 without a remainder.

1, 2, 13163, 26326

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26319 and 26326, than apply into the LCM equation.

GCF(26319,26326) = 1
LCM(26319,26326) = ( 26319 × 26326) / 1
LCM(26319,26326) = 692873994 / 1
LCM(26319,26326) = 692873994

(i) The LCM of 26326 and 26319 is associative

LCM of 26319 and 26326 = LCM of 26326 and 26319

1. What is the LCM of 26319 and 26326?

Answer: LCM of 26319 and 26326 is 692873994.

2. What are the Factors of 26319?

Answer: Factors of 26319 are 1, 3, 31, 93, 283, 849, 8773, 26319. There are 8 integers that are factors of 26319. The greatest factor of 26319 is 26319.

3. What are the Factors of 26326?

Answer: Factors of 26326 are 1, 2, 13163, 26326. There are 4 integers that are factors of 26326. The greatest factor of 26326 is 26326.

4. How to Find the LCM of 26319 and 26326?

Answer:

Least Common Multiple of 26319 and 26326 = 692873994

Step 1: Find the prime factorization of 26319

26319 = 3 x 31 x 283

Step 2: Find the prime factorization of 26326

26326 = 2 x 13163

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

LCM = 692873994 = 2 x 3 x 31 x 283 x 13163

Step 4: Therefore, the least common multiple of 26319 and 26326 is 692873994.