Least Common Multiple of 36030 and 36035

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

• Least Common Multiple of 36030 and 36035 by Prime method
• Least Common Multiple of 36030 and 36035 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36030 and 36035. First we will calculate the prime factors of 36030 and 36035.

Prime Factorization of 36030

Prime factors of 36030 are 2, 3, 5,1201. Prime factorization of 36030 in exponential form is:

36030 = 2¹×3¹×5¹×1201¹

Prime Factorization of 36035

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

36035 = 5¹×7207¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36030 and 36035.

LCM(36030,36035) = 2¹×3¹×5¹×1201¹×7207¹
LCM(36030,36035) = 259668210

Factors of 36030

List of positive integer factors of 36030 that divides 36030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402, 3603, 6005, 7206, 12010, 18015, 36030

Factors of 36035

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

1, 5, 7207, 36035

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36030 and 36035, than apply into the LCM equation.

GCF(36030,36035) = 5
LCM(36030,36035) = ( 36030 × 36035) / 5
LCM(36030,36035) = 1298341050 / 5
LCM(36030,36035) = 259668210

(i) The LCM of 36035 and 36030 is associative

LCM of 36030 and 36035 = LCM of 36035 and 36030

1. What is the LCM of 36030 and 36035?

Answer: LCM of 36030 and 36035 is 259668210.

2. What are the Factors of 36030?

Answer: Factors of 36030 are 1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402, 3603, 6005, 7206, 12010, 18015, 36030. There are 16 integers that are factors of 36030. The greatest factor of 36030 is 36030.

3. 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.

4. How to Find the LCM of 36030 and 36035?

Answer:

Least Common Multiple of 36030 and 36035 = 259668210

Step 1: Find the prime factorization of 36030

36030 = 2 x 3 x 5 x 1201

Step 2: Find the prime factorization of 36035

36035 = 5 x 7207

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

LCM = 259668210 = 2 x 3 x 5 x 1201 x 7207

Step 4: Therefore, the least common multiple of 36030 and 36035 is 259668210.