Least Common Multiple of 36307 and 36315

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

• Least Common Multiple of 36307 and 36315 by Prime method
• Least Common Multiple of 36307 and 36315 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36307 and 36315. First we will calculate the prime factors of 36307 and 36315.

Prime Factorization of 36307

Prime factors of 36307 are 36307. Prime factorization of 36307 in exponential form is:

36307 = 36307¹

Prime Factorization of 36315

Prime factors of 36315 are 3, 5,269. Prime factorization of 36315 in exponential form is:

36315 = 3³×5¹×269¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36307 and 36315.

LCM(36307,36315) = 3³×5¹×269¹×36307¹
LCM(36307,36315) = 1318488705

Factors of 36307

List of positive integer factors of 36307 that divides 36307 without a remainder.

1, 36307

Factors of 36315

List of positive integer factors of 36315 that divides 36315 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36307 and 36315, than apply into the LCM equation.

GCF(36307,36315) = 1
LCM(36307,36315) = ( 36307 × 36315) / 1
LCM(36307,36315) = 1318488705 / 1
LCM(36307,36315) = 1318488705

(i) The LCM of 36315 and 36307 is associative

LCM of 36307 and 36315 = LCM of 36315 and 36307

1. What is the LCM of 36307 and 36315?

Answer: LCM of 36307 and 36315 is 1318488705.

2. What are the Factors of 36307?

Answer: Factors of 36307 are 1, 36307. There are 2 integers that are factors of 36307. The greatest factor of 36307 is 36307.

3. What are the Factors of 36315?

Answer: Factors of 36315 are 1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315. There are 16 integers that are factors of 36315. The greatest factor of 36315 is 36315.

4. How to Find the LCM of 36307 and 36315?

Answer:

Least Common Multiple of 36307 and 36315 = 1318488705

Step 1: Find the prime factorization of 36307

36307 = 36307

Step 2: Find the prime factorization of 36315

36315 = 3 x 3 x 3 x 5 x 269

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

LCM = 1318488705 = 3 x 3 x 3 x 5 x 269 x 36307

Step 4: Therefore, the least common multiple of 36307 and 36315 is 1318488705.