Least Common Multiple of 36308 and 36313

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

• Least Common Multiple of 36308 and 36313 by Prime method
• Least Common Multiple of 36308 and 36313 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36308 and 36313. First we will calculate the prime factors of 36308 and 36313.

Prime Factorization of 36308

Prime factors of 36308 are 2, 29,313. Prime factorization of 36308 in exponential form is:

36308 = 2²×29¹×313¹

Prime Factorization of 36313

Prime factors of 36313 are 36313. Prime factorization of 36313 in exponential form is:

36313 = 36313¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36308 and 36313.

LCM(36308,36313) = 2²×29¹×313¹×36313¹
LCM(36308,36313) = 1318452404

Factors of 36308

List of positive integer factors of 36308 that divides 36308 without a remainder.

1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308

Factors of 36313

List of positive integer factors of 36313 that divides 36313 without a remainder.

1, 36313

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36308 and 36313, than apply into the LCM equation.

GCF(36308,36313) = 1
LCM(36308,36313) = ( 36308 × 36313) / 1
LCM(36308,36313) = 1318452404 / 1
LCM(36308,36313) = 1318452404

(i) The LCM of 36313 and 36308 is associative

LCM of 36308 and 36313 = LCM of 36313 and 36308

1. What is the LCM of 36308 and 36313?

Answer: LCM of 36308 and 36313 is 1318452404.

2. What are the Factors of 36308?

Answer: Factors of 36308 are 1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308. There are 12 integers that are factors of 36308. The greatest factor of 36308 is 36308.

3. What are the Factors of 36313?

Answer: Factors of 36313 are 1, 36313. There are 2 integers that are factors of 36313. The greatest factor of 36313 is 36313.

4. How to Find the LCM of 36308 and 36313?

Answer:

Least Common Multiple of 36308 and 36313 = 1318452404

Step 1: Find the prime factorization of 36308

36308 = 2 x 2 x 29 x 313

Step 2: Find the prime factorization of 36313

36313 = 36313

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

LCM = 1318452404 = 2 x 2 x 29 x 313 x 36313

Step 4: Therefore, the least common multiple of 36308 and 36313 is 1318452404.