Least Common Multiple of 36031 and 36039

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

• Least Common Multiple of 36031 and 36039 by Prime method
• Least Common Multiple of 36031 and 36039 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36031 and 36039. First we will calculate the prime factors of 36031 and 36039.

Prime Factorization of 36031

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

36031 = 137¹×263¹

Prime Factorization of 36039

Prime factors of 36039 are 3, 41,293. Prime factorization of 36039 in exponential form is:

36039 = 3¹×41¹×293¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36031 and 36039.

LCM(36031,36039) = 3¹×41¹×137¹×263¹×293¹
LCM(36031,36039) = 1298521209

Factors of 36031

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

1, 137, 263, 36031

Factors of 36039

List of positive integer factors of 36039 that divides 36039 without a remainder.

1, 3, 41, 123, 293, 879, 12013, 36039

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36031 and 36039, than apply into the LCM equation.

GCF(36031,36039) = 1
LCM(36031,36039) = ( 36031 × 36039) / 1
LCM(36031,36039) = 1298521209 / 1
LCM(36031,36039) = 1298521209

(i) The LCM of 36039 and 36031 is associative

LCM of 36031 and 36039 = LCM of 36039 and 36031

1. What is the LCM of 36031 and 36039?

Answer: LCM of 36031 and 36039 is 1298521209.

2. 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.

3. What are the Factors of 36039?

Answer: Factors of 36039 are 1, 3, 41, 123, 293, 879, 12013, 36039. There are 8 integers that are factors of 36039. The greatest factor of 36039 is 36039.

4. How to Find the LCM of 36031 and 36039?

Answer:

Least Common Multiple of 36031 and 36039 = 1298521209

Step 1: Find the prime factorization of 36031

36031 = 137 x 263

Step 2: Find the prime factorization of 36039

36039 = 3 x 41 x 293

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

LCM = 1298521209 = 3 x 41 x 137 x 263 x 293

Step 4: Therefore, the least common multiple of 36031 and 36039 is 1298521209.