Least Common Multiple of 36091 and 36095

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

• Least Common Multiple of 36091 and 36095 by Prime method
• Least Common Multiple of 36091 and 36095 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36091 and 36095. First we will calculate the prime factors of 36091 and 36095.

Prime Factorization of 36091

Prime factors of 36091 are 11, 17,193. Prime factorization of 36091 in exponential form is:

36091 = 11¹×17¹×193¹

Prime Factorization of 36095

Prime factors of 36095 are 5,7219. Prime factorization of 36095 in exponential form is:

36095 = 5¹×7219¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36091 and 36095.

LCM(36091,36095) = 5¹×11¹×17¹×193¹×7219¹
LCM(36091,36095) = 1302704645

Factors of 36091

List of positive integer factors of 36091 that divides 36091 without a remainder.

1, 11, 17, 187, 193, 2123, 3281, 36091

Factors of 36095

List of positive integer factors of 36095 that divides 36095 without a remainder.

1, 5, 7219, 36095

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36091 and 36095, than apply into the LCM equation.

GCF(36091,36095) = 1
LCM(36091,36095) = ( 36091 × 36095) / 1
LCM(36091,36095) = 1302704645 / 1
LCM(36091,36095) = 1302704645

(i) The LCM of 36095 and 36091 is associative

LCM of 36091 and 36095 = LCM of 36095 and 36091

1. What is the LCM of 36091 and 36095?

Answer: LCM of 36091 and 36095 is 1302704645.

2. What are the Factors of 36091?

Answer: Factors of 36091 are 1, 11, 17, 187, 193, 2123, 3281, 36091. There are 8 integers that are factors of 36091. The greatest factor of 36091 is 36091.

3. What are the Factors of 36095?

Answer: Factors of 36095 are 1, 5, 7219, 36095. There are 4 integers that are factors of 36095. The greatest factor of 36095 is 36095.

4. How to Find the LCM of 36091 and 36095?

Answer:

Least Common Multiple of 36091 and 36095 = 1302704645

Step 1: Find the prime factorization of 36091

36091 = 11 x 17 x 193

Step 2: Find the prime factorization of 36095

36095 = 5 x 7219

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

LCM = 1302704645 = 5 x 11 x 17 x 193 x 7219

Step 4: Therefore, the least common multiple of 36091 and 36095 is 1302704645.