Least Common Multiple of 36027 and 36031

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

• Least Common Multiple of 36027 and 36031 by Prime method
• Least Common Multiple of 36027 and 36031 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36027 and 36031. First we will calculate the prime factors of 36027 and 36031.

Prime Factorization of 36027

Prime factors of 36027 are 3,4003. Prime factorization of 36027 in exponential form is:

36027 = 3²×4003¹

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 36027 and 36031.

LCM(36027,36031) = 3²×137¹×263¹×4003¹
LCM(36027,36031) = 1298088837

Factors of 36027

List of positive integer factors of 36027 that divides 36027 without a remainder.

1, 3, 9, 4003, 12009, 36027

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 36027 and 36031, than apply into the LCM equation.

GCF(36027,36031) = 1
LCM(36027,36031) = ( 36027 × 36031) / 1
LCM(36027,36031) = 1298088837 / 1
LCM(36027,36031) = 1298088837

(i) The LCM of 36031 and 36027 is associative

LCM of 36027 and 36031 = LCM of 36031 and 36027

1. What is the LCM of 36027 and 36031?

Answer: LCM of 36027 and 36031 is 1298088837.

2. What are the Factors of 36027?

Answer: Factors of 36027 are 1, 3, 9, 4003, 12009, 36027. There are 6 integers that are factors of 36027. The greatest factor of 36027 is 36027.

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 36027 and 36031?

Answer:

Least Common Multiple of 36027 and 36031 = 1298088837

Step 1: Find the prime factorization of 36027

36027 = 3 x 3 x 4003

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 = 1298088837 = 3 x 3 x 137 x 263 x 4003

Step 4: Therefore, the least common multiple of 36027 and 36031 is 1298088837.