Least Common Multiple of 36019 and 36023

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

• Least Common Multiple of 36019 and 36023 by Prime method
• Least Common Multiple of 36019 and 36023 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36019 and 36023. First we will calculate the prime factors of 36019 and 36023.

Prime Factorization of 36019

Prime factors of 36019 are 181,199. Prime factorization of 36019 in exponential form is:

36019 = 181¹×199¹

Prime Factorization of 36023

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

36023 = 13¹×17¹×163¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36019 and 36023.

LCM(36019,36023) = 13¹×17¹×163¹×181¹×199¹
LCM(36019,36023) = 1297512437

Factors of 36019

List of positive integer factors of 36019 that divides 36019 without a remainder.

1, 181, 199, 36019

Factors of 36023

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36019 and 36023, than apply into the LCM equation.

GCF(36019,36023) = 1
LCM(36019,36023) = ( 36019 × 36023) / 1
LCM(36019,36023) = 1297512437 / 1
LCM(36019,36023) = 1297512437

(i) The LCM of 36023 and 36019 is associative

LCM of 36019 and 36023 = LCM of 36023 and 36019

1. What is the LCM of 36019 and 36023?

Answer: LCM of 36019 and 36023 is 1297512437.

2. What are the Factors of 36019?

Answer: Factors of 36019 are 1, 181, 199, 36019. There are 4 integers that are factors of 36019. The greatest factor of 36019 is 36019.

3. 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.

4. How to Find the LCM of 36019 and 36023?

Answer:

Least Common Multiple of 36019 and 36023 = 1297512437

Step 1: Find the prime factorization of 36019

36019 = 181 x 199

Step 2: Find the prime factorization of 36023

36023 = 13 x 17 x 163

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

LCM = 1297512437 = 13 x 17 x 163 x 181 x 199

Step 4: Therefore, the least common multiple of 36019 and 36023 is 1297512437.