Least Common Multiple of 26327 and 26332

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

• Least Common Multiple of 26327 and 26332 by Prime method
• Least Common Multiple of 26327 and 26332 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 26327 and 26332. First we will calculate the prime factors of 26327 and 26332.

Prime Factorization of 26327

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

26327 = 7¹×3761¹

Prime Factorization of 26332

Prime factors of 26332 are 2, 29,227. Prime factorization of 26332 in exponential form is:

26332 = 2²×29¹×227¹

Now multiplying the highest exponent prime factors to calculate the LCM of 26327 and 26332.

LCM(26327,26332) = 2²×7¹×29¹×227¹×3761¹
LCM(26327,26332) = 693242564

Factors of 26327

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

1, 7, 3761, 26327

Factors of 26332

List of positive integer factors of 26332 that divides 26332 without a remainder.

1, 2, 4, 29, 58, 116, 227, 454, 908, 6583, 13166, 26332

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26327 and 26332, than apply into the LCM equation.

GCF(26327,26332) = 1
LCM(26327,26332) = ( 26327 × 26332) / 1
LCM(26327,26332) = 693242564 / 1
LCM(26327,26332) = 693242564

(i) The LCM of 26332 and 26327 is associative

LCM of 26327 and 26332 = LCM of 26332 and 26327

1. What is the LCM of 26327 and 26332?

Answer: LCM of 26327 and 26332 is 693242564.

2. 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.

3. What are the Factors of 26332?

Answer: Factors of 26332 are 1, 2, 4, 29, 58, 116, 227, 454, 908, 6583, 13166, 26332. There are 12 integers that are factors of 26332. The greatest factor of 26332 is 26332.

4. How to Find the LCM of 26327 and 26332?

Answer:

Least Common Multiple of 26327 and 26332 = 693242564

Step 1: Find the prime factorization of 26327

26327 = 7 x 3761

Step 2: Find the prime factorization of 26332

26332 = 2 x 2 x 29 x 227

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

LCM = 693242564 = 2 x 2 x 7 x 29 x 227 x 3761

Step 4: Therefore, the least common multiple of 26327 and 26332 is 693242564.