Least Common Multiple of 36301 and 36308

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

• Least Common Multiple of 36301 and 36308 by Prime method
• Least Common Multiple of 36301 and 36308 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36301 and 36308. First we will calculate the prime factors of 36301 and 36308.

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 36308

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

36308 = 2²×29¹×313¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36301 and 36308.

LCM(36301,36308) = 2²×29¹×31¹×313¹×1171¹
LCM(36301,36308) = 1318016708

Factors of 36301

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

1, 31, 1171, 36301

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36301 and 36308, than apply into the LCM equation.

GCF(36301,36308) = 1
LCM(36301,36308) = ( 36301 × 36308) / 1
LCM(36301,36308) = 1318016708 / 1
LCM(36301,36308) = 1318016708

(i) The LCM of 36308 and 36301 is associative

LCM of 36301 and 36308 = LCM of 36308 and 36301

1. What is the LCM of 36301 and 36308?

Answer: LCM of 36301 and 36308 is 1318016708.

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 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.

4. How to Find the LCM of 36301 and 36308?

Answer:

Least Common Multiple of 36301 and 36308 = 1318016708

Step 1: Find the prime factorization of 36301

36301 = 31 x 1171

Step 2: Find the prime factorization of 36308

36308 = 2 x 2 x 29 x 313

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

LCM = 1318016708 = 2 x 2 x 29 x 31 x 313 x 1171

Step 4: Therefore, the least common multiple of 36301 and 36308 is 1318016708.