Least Common Multiple of 36033 and 36038

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

• Least Common Multiple of 36033 and 36038 by Prime method
• Least Common Multiple of 36033 and 36038 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36033 and 36038. First we will calculate the prime factors of 36033 and 36038.

Prime Factorization of 36033

Prime factors of 36033 are 3,12011. Prime factorization of 36033 in exponential form is:

36033 = 3¹×12011¹

Prime Factorization of 36038

Prime factors of 36038 are 2, 37,487. Prime factorization of 36038 in exponential form is:

36038 = 2¹×37¹×487¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36033 and 36038.

LCM(36033,36038) = 2¹×3¹×37¹×487¹×12011¹
LCM(36033,36038) = 1298557254

Factors of 36033

List of positive integer factors of 36033 that divides 36033 without a remainder.

1, 3, 12011, 36033

Factors of 36038

List of positive integer factors of 36038 that divides 36038 without a remainder.

1, 2, 37, 74, 487, 974, 18019, 36038

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36033 and 36038, than apply into the LCM equation.

GCF(36033,36038) = 1
LCM(36033,36038) = ( 36033 × 36038) / 1
LCM(36033,36038) = 1298557254 / 1
LCM(36033,36038) = 1298557254

(i) The LCM of 36038 and 36033 is associative

LCM of 36033 and 36038 = LCM of 36038 and 36033

1. What is the LCM of 36033 and 36038?

Answer: LCM of 36033 and 36038 is 1298557254.

2. What are the Factors of 36033?

Answer: Factors of 36033 are 1, 3, 12011, 36033. There are 4 integers that are factors of 36033. The greatest factor of 36033 is 36033.

3. What are the Factors of 36038?

Answer: Factors of 36038 are 1, 2, 37, 74, 487, 974, 18019, 36038. There are 8 integers that are factors of 36038. The greatest factor of 36038 is 36038.

4. How to Find the LCM of 36033 and 36038?

Answer:

Least Common Multiple of 36033 and 36038 = 1298557254

Step 1: Find the prime factorization of 36033

36033 = 3 x 12011

Step 2: Find the prime factorization of 36038

36038 = 2 x 37 x 487

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

LCM = 1298557254 = 2 x 3 x 37 x 487 x 12011

Step 4: Therefore, the least common multiple of 36033 and 36038 is 1298557254.