Least Common Multiple of 36030 and 36037

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

• Least Common Multiple of 36030 and 36037 by Prime method
• Least Common Multiple of 36030 and 36037 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36030 and 36037. First we will calculate the prime factors of 36030 and 36037.

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 36037

Prime factors of 36037 are 36037. Prime factorization of 36037 in exponential form is:

36037 = 36037¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36030 and 36037.

LCM(36030,36037) = 2¹×3¹×5¹×1201¹×36037¹
LCM(36030,36037) = 1298413110

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 36037

List of positive integer factors of 36037 that divides 36037 without a remainder.

1, 36037

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36030 and 36037, than apply into the LCM equation.

GCF(36030,36037) = 1
LCM(36030,36037) = ( 36030 × 36037) / 1
LCM(36030,36037) = 1298413110 / 1
LCM(36030,36037) = 1298413110

(i) The LCM of 36037 and 36030 is associative

LCM of 36030 and 36037 = LCM of 36037 and 36030

1. What is the LCM of 36030 and 36037?

Answer: LCM of 36030 and 36037 is 1298413110.

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 36037?

Answer: Factors of 36037 are 1, 36037. There are 2 integers that are factors of 36037. The greatest factor of 36037 is 36037.

4. How to Find the LCM of 36030 and 36037?

Answer:

Least Common Multiple of 36030 and 36037 = 1298413110

Step 1: Find the prime factorization of 36030

36030 = 2 x 3 x 5 x 1201

Step 2: Find the prime factorization of 36037

36037 = 36037

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

LCM = 1298413110 = 2 x 3 x 5 x 1201 x 36037

Step 4: Therefore, the least common multiple of 36030 and 36037 is 1298413110.