Least Common Multiple of 26319 and 26327

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

• Least Common Multiple of 26319 and 26327 by Prime method
• Least Common Multiple of 26319 and 26327 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 26319 and 26327. First we will calculate the prime factors of 26319 and 26327.

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 26327

Prime factors of 26327 are 7,3761. Prime factorization of 26327 in exponential form is:

26327 = 7¹×3761¹

Now multiplying the highest exponent prime factors to calculate the LCM of 26319 and 26327.

LCM(26319,26327) = 3¹×7¹×31¹×283¹×3761¹
LCM(26319,26327) = 692900313

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 26327

List of positive integer factors of 26327 that divides 26327 without a remainder.

1, 7, 3761, 26327

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26319 and 26327, than apply into the LCM equation.

GCF(26319,26327) = 1
LCM(26319,26327) = ( 26319 × 26327) / 1
LCM(26319,26327) = 692900313 / 1
LCM(26319,26327) = 692900313

(i) The LCM of 26327 and 26319 is associative

LCM of 26319 and 26327 = LCM of 26327 and 26319

1. What is the LCM of 26319 and 26327?

Answer: LCM of 26319 and 26327 is 692900313.

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 26327?

Answer: Factors of 26327 are 1, 7, 3761, 26327. There are 4 integers that are factors of 26327. The greatest factor of 26327 is 26327.

4. How to Find the LCM of 26319 and 26327?

Answer:

Least Common Multiple of 26319 and 26327 = 692900313

Step 1: Find the prime factorization of 26319

26319 = 3 x 31 x 283

Step 2: Find the prime factorization of 26327

26327 = 7 x 3761

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

LCM = 692900313 = 3 x 7 x 31 x 283 x 3761

Step 4: Therefore, the least common multiple of 26319 and 26327 is 692900313.