Least Common Multiple of 36029 and 36034

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

• Least Common Multiple of 36029 and 36034 by Prime method
• Least Common Multiple of 36029 and 36034 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36029 and 36034. First we will calculate the prime factors of 36029 and 36034.

Prime Factorization of 36029

Prime factors of 36029 are 7,5147. Prime factorization of 36029 in exponential form is:

36029 = 7¹×5147¹

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 36029 and 36034.

LCM(36029,36034) = 2¹×7¹×43¹×419¹×5147¹
LCM(36029,36034) = 1298268986

Factors of 36029

List of positive integer factors of 36029 that divides 36029 without a remainder.

1, 7, 5147, 36029

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 36029 and 36034, than apply into the LCM equation.

GCF(36029,36034) = 1
LCM(36029,36034) = ( 36029 × 36034) / 1
LCM(36029,36034) = 1298268986 / 1
LCM(36029,36034) = 1298268986

(i) The LCM of 36034 and 36029 is associative

LCM of 36029 and 36034 = LCM of 36034 and 36029

1. What is the LCM of 36029 and 36034?

Answer: LCM of 36029 and 36034 is 1298268986.

2. What are the Factors of 36029?

Answer: Factors of 36029 are 1, 7, 5147, 36029. There are 4 integers that are factors of 36029. The greatest factor of 36029 is 36029.

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 36029 and 36034?

Answer:

Least Common Multiple of 36029 and 36034 = 1298268986

Step 1: Find the prime factorization of 36029

36029 = 7 x 5147

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 = 1298268986 = 2 x 7 x 43 x 419 x 5147

Step 4: Therefore, the least common multiple of 36029 and 36034 is 1298268986.