Least Common Multiple of 36305 and 36310

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

• Least Common Multiple of 36305 and 36310 by Prime method
• Least Common Multiple of 36305 and 36310 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36305 and 36310. First we will calculate the prime factors of 36305 and 36310.

Prime Factorization of 36305

Prime factors of 36305 are 5, 53,137. Prime factorization of 36305 in exponential form is:

36305 = 5¹×53¹×137¹

Prime Factorization of 36310

Prime factors of 36310 are 2, 5,3631. Prime factorization of 36310 in exponential form is:

36310 = 2¹×5¹×3631¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36305 and 36310.

LCM(36305,36310) = 2¹×5¹×53¹×137¹×3631¹
LCM(36305,36310) = 263646910

Factors of 36305

List of positive integer factors of 36305 that divides 36305 without a remainder.

1, 5, 53, 137, 265, 685, 7261, 36305

Factors of 36310

List of positive integer factors of 36310 that divides 36310 without a remainder.

1, 2, 5, 10, 3631, 7262, 18155, 36310

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36305 and 36310, than apply into the LCM equation.

GCF(36305,36310) = 5
LCM(36305,36310) = ( 36305 × 36310) / 5
LCM(36305,36310) = 1318234550 / 5
LCM(36305,36310) = 263646910

(i) The LCM of 36310 and 36305 is associative

LCM of 36305 and 36310 = LCM of 36310 and 36305

1. What is the LCM of 36305 and 36310?

Answer: LCM of 36305 and 36310 is 263646910.

2. What are the Factors of 36305?

Answer: Factors of 36305 are 1, 5, 53, 137, 265, 685, 7261, 36305. There are 8 integers that are factors of 36305. The greatest factor of 36305 is 36305.

3. What are the Factors of 36310?

Answer: Factors of 36310 are 1, 2, 5, 10, 3631, 7262, 18155, 36310. There are 8 integers that are factors of 36310. The greatest factor of 36310 is 36310.

4. How to Find the LCM of 36305 and 36310?

Answer:

Least Common Multiple of 36305 and 36310 = 263646910

Step 1: Find the prime factorization of 36305

36305 = 5 x 53 x 137

Step 2: Find the prime factorization of 36310

36310 = 2 x 5 x 3631

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

LCM = 263646910 = 2 x 5 x 53 x 137 x 3631

Step 4: Therefore, the least common multiple of 36305 and 36310 is 263646910.