Least Common Multiple of 52897 and 52905

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

• Least Common Multiple of 52897 and 52905 by Prime method
• Least Common Multiple of 52897 and 52905 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 52897 and 52905. First we will calculate the prime factors of 52897 and 52905.

Prime Factorization of 52897

Prime factors of 52897 are 13,313. Prime factorization of 52897 in exponential form is:

52897 = 13²×313¹

Prime Factorization of 52905

Prime factors of 52905 are 3, 5,3527. Prime factorization of 52905 in exponential form is:

52905 = 3¹×5¹×3527¹

Now multiplying the highest exponent prime factors to calculate the LCM of 52897 and 52905.

LCM(52897,52905) = 3¹×5¹×13²×313¹×3527¹
LCM(52897,52905) = 2798515785

Factors of 52897

List of positive integer factors of 52897 that divides 52897 without a remainder.

1, 13, 169, 313, 4069, 52897

Factors of 52905

List of positive integer factors of 52905 that divides 52905 without a remainder.

1, 3, 5, 15, 3527, 10581, 17635, 52905

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52897 and 52905, than apply into the LCM equation.

GCF(52897,52905) = 1
LCM(52897,52905) = ( 52897 × 52905) / 1
LCM(52897,52905) = 2798515785 / 1
LCM(52897,52905) = 2798515785

(i) The LCM of 52905 and 52897 is associative

LCM of 52897 and 52905 = LCM of 52905 and 52897

1. What is the LCM of 52897 and 52905?

Answer: LCM of 52897 and 52905 is 2798515785.

2. What are the Factors of 52897?

Answer: Factors of 52897 are 1, 13, 169, 313, 4069, 52897. There are 6 integers that are factors of 52897. The greatest factor of 52897 is 52897.

3. What are the Factors of 52905?

Answer: Factors of 52905 are 1, 3, 5, 15, 3527, 10581, 17635, 52905. There are 8 integers that are factors of 52905. The greatest factor of 52905 is 52905.

4. How to Find the LCM of 52897 and 52905?

Answer:

Least Common Multiple of 52897 and 52905 = 2798515785

Step 1: Find the prime factorization of 52897

52897 = 13 x 13 x 313

Step 2: Find the prime factorization of 52905

52905 = 3 x 5 x 3527

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

LCM = 2798515785 = 3 x 5 x 13 x 13 x 313 x 3527

Step 4: Therefore, the least common multiple of 52897 and 52905 is 2798515785.