Least Common Multiple of 36035 and 36042

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

• Least Common Multiple of 36035 and 36042 by Prime method
• Least Common Multiple of 36035 and 36042 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36035 and 36042. First we will calculate the prime factors of 36035 and 36042.

Prime Factorization of 36035

Prime factors of 36035 are 5,7207. Prime factorization of 36035 in exponential form is:

36035 = 5¹×7207¹

Prime Factorization of 36042

Prime factors of 36042 are 2, 3,6007. Prime factorization of 36042 in exponential form is:

36042 = 2¹×3¹×6007¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36035 and 36042.

LCM(36035,36042) = 2¹×3¹×5¹×6007¹×7207¹
LCM(36035,36042) = 1298773470

Factors of 36035

List of positive integer factors of 36035 that divides 36035 without a remainder.

1, 5, 7207, 36035

Factors of 36042

List of positive integer factors of 36042 that divides 36042 without a remainder.

1, 2, 3, 6, 6007, 12014, 18021, 36042

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36035 and 36042, than apply into the LCM equation.

GCF(36035,36042) = 1
LCM(36035,36042) = ( 36035 × 36042) / 1
LCM(36035,36042) = 1298773470 / 1
LCM(36035,36042) = 1298773470

(i) The LCM of 36042 and 36035 is associative

LCM of 36035 and 36042 = LCM of 36042 and 36035

1. What is the LCM of 36035 and 36042?

Answer: LCM of 36035 and 36042 is 1298773470.

2. What are the Factors of 36035?

Answer: Factors of 36035 are 1, 5, 7207, 36035. There are 4 integers that are factors of 36035. The greatest factor of 36035 is 36035.

3. What are the Factors of 36042?

Answer: Factors of 36042 are 1, 2, 3, 6, 6007, 12014, 18021, 36042. There are 8 integers that are factors of 36042. The greatest factor of 36042 is 36042.

4. How to Find the LCM of 36035 and 36042?

Answer:

Least Common Multiple of 36035 and 36042 = 1298773470

Step 1: Find the prime factorization of 36035

36035 = 5 x 7207

Step 2: Find the prime factorization of 36042

36042 = 2 x 3 x 6007

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

LCM = 1298773470 = 2 x 3 x 5 x 6007 x 7207

Step 4: Therefore, the least common multiple of 36035 and 36042 is 1298773470.