Least Common Multiple of 36030 and 36038

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

• Least Common Multiple of 36030 and 36038 by Prime method
• Least Common Multiple of 36030 and 36038 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36030 and 36038. First we will calculate the prime factors of 36030 and 36038.

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 36038

Prime factors of 36038 are 2, 37,487. Prime factorization of 36038 in exponential form is:

36038 = 2¹×37¹×487¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36030 and 36038.

LCM(36030,36038) = 2¹×3¹×5¹×37¹×487¹×1201¹
LCM(36030,36038) = 649224570

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 36038

List of positive integer factors of 36038 that divides 36038 without a remainder.

1, 2, 37, 74, 487, 974, 18019, 36038

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36030 and 36038, than apply into the LCM equation.

GCF(36030,36038) = 2
LCM(36030,36038) = ( 36030 × 36038) / 2
LCM(36030,36038) = 1298449140 / 2
LCM(36030,36038) = 649224570

(i) The LCM of 36038 and 36030 is associative

LCM of 36030 and 36038 = LCM of 36038 and 36030

1. What is the LCM of 36030 and 36038?

Answer: LCM of 36030 and 36038 is 649224570.

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 36038?

Answer: Factors of 36038 are 1, 2, 37, 74, 487, 974, 18019, 36038. There are 8 integers that are factors of 36038. The greatest factor of 36038 is 36038.

4. How to Find the LCM of 36030 and 36038?

Answer:

Least Common Multiple of 36030 and 36038 = 649224570

Step 1: Find the prime factorization of 36030

36030 = 2 x 3 x 5 x 1201

Step 2: Find the prime factorization of 36038

36038 = 2 x 37 x 487

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

LCM = 649224570 = 2 x 3 x 5 x 37 x 487 x 1201

Step 4: Therefore, the least common multiple of 36030 and 36038 is 649224570.