Least Common Multiple of 36027 and 36034

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

• Least Common Multiple of 36027 and 36034 by Prime method
• Least Common Multiple of 36027 and 36034 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36027 and 36034. First we will calculate the prime factors of 36027 and 36034.

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 36034

Prime factors of 36034 are 2, 43,419. Prime factorization of 36034 in exponential form is:

36034 = 2¹×43¹×419¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36027 and 36034.

LCM(36027,36034) = 2¹×3²×43¹×419¹×4003¹
LCM(36027,36034) = 1298196918

Factors of 36027

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

1, 3, 9, 4003, 12009, 36027

Factors of 36034

List of positive integer factors of 36034 that divides 36034 without a remainder.

1, 2, 43, 86, 419, 838, 18017, 36034

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36027 and 36034, than apply into the LCM equation.

GCF(36027,36034) = 1
LCM(36027,36034) = ( 36027 × 36034) / 1
LCM(36027,36034) = 1298196918 / 1
LCM(36027,36034) = 1298196918

(i) The LCM of 36034 and 36027 is associative

LCM of 36027 and 36034 = LCM of 36034 and 36027

1. What is the LCM of 36027 and 36034?

Answer: LCM of 36027 and 36034 is 1298196918.

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 36034?

Answer: Factors of 36034 are 1, 2, 43, 86, 419, 838, 18017, 36034. There are 8 integers that are factors of 36034. The greatest factor of 36034 is 36034.

4. How to Find the LCM of 36027 and 36034?

Answer:

Least Common Multiple of 36027 and 36034 = 1298196918

Step 1: Find the prime factorization of 36027

36027 = 3 x 3 x 4003

Step 2: Find the prime factorization of 36034

36034 = 2 x 43 x 419

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

LCM = 1298196918 = 2 x 3 x 3 x 43 x 419 x 4003

Step 4: Therefore, the least common multiple of 36027 and 36034 is 1298196918.