Least Common Multiple of 36083 and 36091

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

• Least Common Multiple of 36083 and 36091 by Prime method
• Least Common Multiple of 36083 and 36091 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36083 and 36091. First we will calculate the prime factors of 36083 and 36091.

Prime Factorization of 36083

Prime factors of 36083 are 36083. Prime factorization of 36083 in exponential form is:

36083 = 36083¹

Prime Factorization of 36091

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

36091 = 11¹×17¹×193¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36083 and 36091.

LCM(36083,36091) = 11¹×17¹×193¹×36083¹
LCM(36083,36091) = 1302271553

Factors of 36083

List of positive integer factors of 36083 that divides 36083 without a remainder.

1, 36083

Factors of 36091

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36083 and 36091, than apply into the LCM equation.

GCF(36083,36091) = 1
LCM(36083,36091) = ( 36083 × 36091) / 1
LCM(36083,36091) = 1302271553 / 1
LCM(36083,36091) = 1302271553

(i) The LCM of 36091 and 36083 is associative

LCM of 36083 and 36091 = LCM of 36091 and 36083

1. What is the LCM of 36083 and 36091?

Answer: LCM of 36083 and 36091 is 1302271553.

2. What are the Factors of 36083?

Answer: Factors of 36083 are 1, 36083. There are 2 integers that are factors of 36083. The greatest factor of 36083 is 36083.

3. 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.

4. How to Find the LCM of 36083 and 36091?

Answer:

Least Common Multiple of 36083 and 36091 = 1302271553

Step 1: Find the prime factorization of 36083

36083 = 36083

Step 2: Find the prime factorization of 36091

36091 = 11 x 17 x 193

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

LCM = 1302271553 = 11 x 17 x 193 x 36083

Step 4: Therefore, the least common multiple of 36083 and 36091 is 1302271553.