Least Common Multiple of 36023 and 36031

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

• Least Common Multiple of 36023 and 36031 by Prime method
• Least Common Multiple of 36023 and 36031 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36023 and 36031. First we will calculate the prime factors of 36023 and 36031.

Prime Factorization of 36023

Prime factors of 36023 are 13, 17,163. Prime factorization of 36023 in exponential form is:

36023 = 13¹×17¹×163¹

Prime Factorization of 36031

Prime factors of 36031 are 137,263. Prime factorization of 36031 in exponential form is:

36031 = 137¹×263¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36023 and 36031.

LCM(36023,36031) = 13¹×17¹×137¹×163¹×263¹
LCM(36023,36031) = 1297944713

Factors of 36023

List of positive integer factors of 36023 that divides 36023 without a remainder.

1, 13, 17, 163, 221, 2119, 2771, 36023

Factors of 36031

List of positive integer factors of 36031 that divides 36031 without a remainder.

1, 137, 263, 36031

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36023 and 36031, than apply into the LCM equation.

GCF(36023,36031) = 1
LCM(36023,36031) = ( 36023 × 36031) / 1
LCM(36023,36031) = 1297944713 / 1
LCM(36023,36031) = 1297944713

(i) The LCM of 36031 and 36023 is associative

LCM of 36023 and 36031 = LCM of 36031 and 36023

1. What is the LCM of 36023 and 36031?

Answer: LCM of 36023 and 36031 is 1297944713.

2. What are the Factors of 36023?

Answer: Factors of 36023 are 1, 13, 17, 163, 221, 2119, 2771, 36023. There are 8 integers that are factors of 36023. The greatest factor of 36023 is 36023.

3. What are the Factors of 36031?

Answer: Factors of 36031 are 1, 137, 263, 36031. There are 4 integers that are factors of 36031. The greatest factor of 36031 is 36031.

4. How to Find the LCM of 36023 and 36031?

Answer:

Least Common Multiple of 36023 and 36031 = 1297944713

Step 1: Find the prime factorization of 36023

36023 = 13 x 17 x 163

Step 2: Find the prime factorization of 36031

36031 = 137 x 263

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

LCM = 1297944713 = 13 x 17 x 137 x 163 x 263

Step 4: Therefore, the least common multiple of 36023 and 36031 is 1297944713.