Least Common Multiple of 36301 and 36306

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

• Least Common Multiple of 36301 and 36306 by Prime method
• Least Common Multiple of 36301 and 36306 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36301 and 36306. First we will calculate the prime factors of 36301 and 36306.

Prime Factorization of 36301

Prime factors of 36301 are 31,1171. Prime factorization of 36301 in exponential form is:

36301 = 31¹×1171¹

Prime Factorization of 36306

Prime factors of 36306 are 2, 3,2017. Prime factorization of 36306 in exponential form is:

36306 = 2¹×3²×2017¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36301 and 36306.

LCM(36301,36306) = 2¹×3²×31¹×1171¹×2017¹
LCM(36301,36306) = 1317944106

Factors of 36301

List of positive integer factors of 36301 that divides 36301 without a remainder.

1, 31, 1171, 36301

Factors of 36306

List of positive integer factors of 36306 that divides 36306 without a remainder.

1, 2, 3, 6, 9, 18, 2017, 4034, 6051, 12102, 18153, 36306

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36301 and 36306, than apply into the LCM equation.

GCF(36301,36306) = 1
LCM(36301,36306) = ( 36301 × 36306) / 1
LCM(36301,36306) = 1317944106 / 1
LCM(36301,36306) = 1317944106

(i) The LCM of 36306 and 36301 is associative

LCM of 36301 and 36306 = LCM of 36306 and 36301

1. What is the LCM of 36301 and 36306?

Answer: LCM of 36301 and 36306 is 1317944106.

2. What are the Factors of 36301?

Answer: Factors of 36301 are 1, 31, 1171, 36301. There are 4 integers that are factors of 36301. The greatest factor of 36301 is 36301.

3. What are the Factors of 36306?

Answer: Factors of 36306 are 1, 2, 3, 6, 9, 18, 2017, 4034, 6051, 12102, 18153, 36306. There are 12 integers that are factors of 36306. The greatest factor of 36306 is 36306.

4. How to Find the LCM of 36301 and 36306?

Answer:

Least Common Multiple of 36301 and 36306 = 1317944106

Step 1: Find the prime factorization of 36301

36301 = 31 x 1171

Step 2: Find the prime factorization of 36306

36306 = 2 x 3 x 3 x 2017

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

LCM = 1317944106 = 2 x 3 x 3 x 31 x 1171 x 2017

Step 4: Therefore, the least common multiple of 36301 and 36306 is 1317944106.