Least Common Multiple of 36023 and 36030

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

• Least Common Multiple of 36023 and 36030 by Prime method
• Least Common Multiple of 36023 and 36030 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36023 and 36030. First we will calculate the prime factors of 36023 and 36030.

Prime Factorization of 36023

Prime factors of 36023 are 13, 17,163. Prime factorization of 36023 in exponential form is:

36023 = 13¹×17¹×163¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 36023 and 36030.

LCM(36023,36030) = 2¹×3¹×5¹×13¹×17¹×163¹×1201¹
LCM(36023,36030) = 1297908690

Factors of 36023

List of positive integer factors of 36023 that divides 36023 without a remainder.

1, 13, 17, 163, 221, 2119, 2771, 36023

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36023 and 36030, than apply into the LCM equation.

GCF(36023,36030) = 1
LCM(36023,36030) = ( 36023 × 36030) / 1
LCM(36023,36030) = 1297908690 / 1
LCM(36023,36030) = 1297908690

(i) The LCM of 36030 and 36023 is associative

LCM of 36023 and 36030 = LCM of 36030 and 36023

1. What is the LCM of 36023 and 36030?

Answer: LCM of 36023 and 36030 is 1297908690.

2. What are the Factors of 36023?

Answer: Factors of 36023 are 1, 13, 17, 163, 221, 2119, 2771, 36023. There are 8 integers that are factors of 36023. The greatest factor of 36023 is 36023.

3. 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.

4. How to Find the LCM of 36023 and 36030?

Answer:

Least Common Multiple of 36023 and 36030 = 1297908690

Step 1: Find the prime factorization of 36023

36023 = 13 x 17 x 163

Step 2: Find the prime factorization of 36030

36030 = 2 x 3 x 5 x 1201

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

LCM = 1297908690 = 2 x 3 x 5 x 13 x 17 x 163 x 1201

Step 4: Therefore, the least common multiple of 36023 and 36030 is 1297908690.