Least Common Multiple of 36301 and 36305

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

• Least Common Multiple of 36301 and 36305 by Prime method
• Least Common Multiple of 36301 and 36305 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36301 and 36305. First we will calculate the prime factors of 36301 and 36305.

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 36305

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

36305 = 5¹×53¹×137¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36301 and 36305.

LCM(36301,36305) = 5¹×31¹×53¹×137¹×1171¹
LCM(36301,36305) = 1317907805

Factors of 36301

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

1, 31, 1171, 36301

Factors of 36305

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36301 and 36305, than apply into the LCM equation.

GCF(36301,36305) = 1
LCM(36301,36305) = ( 36301 × 36305) / 1
LCM(36301,36305) = 1317907805 / 1
LCM(36301,36305) = 1317907805

(i) The LCM of 36305 and 36301 is associative

LCM of 36301 and 36305 = LCM of 36305 and 36301

1. What is the LCM of 36301 and 36305?

Answer: LCM of 36301 and 36305 is 1317907805.

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 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.

4. How to Find the LCM of 36301 and 36305?

Answer:

Least Common Multiple of 36301 and 36305 = 1317907805

Step 1: Find the prime factorization of 36301

36301 = 31 x 1171

Step 2: Find the prime factorization of 36305

36305 = 5 x 53 x 137

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

LCM = 1317907805 = 5 x 31 x 53 x 137 x 1171

Step 4: Therefore, the least common multiple of 36301 and 36305 is 1317907805.