Least Common Multiple of 36015 and 36019

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

• Least Common Multiple of 36015 and 36019 by Prime method
• Least Common Multiple of 36015 and 36019 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36015 and 36019. First we will calculate the prime factors of 36015 and 36019.

Prime Factorization of 36015

Prime factors of 36015 are 3, 5,7. Prime factorization of 36015 in exponential form is:

36015 = 3¹×5¹×7⁴

Prime Factorization of 36019

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

36019 = 181¹×199¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36015 and 36019.

LCM(36015,36019) = 3¹×5¹×7⁴×181¹×199¹
LCM(36015,36019) = 1297224285

Factors of 36015

List of positive integer factors of 36015 that divides 36015 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005, 36015

Factors of 36019

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

1, 181, 199, 36019

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36015 and 36019, than apply into the LCM equation.

GCF(36015,36019) = 1
LCM(36015,36019) = ( 36015 × 36019) / 1
LCM(36015,36019) = 1297224285 / 1
LCM(36015,36019) = 1297224285

(i) The LCM of 36019 and 36015 is associative

LCM of 36015 and 36019 = LCM of 36019 and 36015

1. What is the LCM of 36015 and 36019?

Answer: LCM of 36015 and 36019 is 1297224285.

2. What are the Factors of 36015?

Answer: Factors of 36015 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005, 36015. There are 20 integers that are factors of 36015. The greatest factor of 36015 is 36015.

3. 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.

4. How to Find the LCM of 36015 and 36019?

Answer:

Least Common Multiple of 36015 and 36019 = 1297224285

Step 1: Find the prime factorization of 36015

36015 = 3 x 5 x 7 x 7 x 7 x 7

Step 2: Find the prime factorization of 36019

36019 = 181 x 199

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

LCM = 1297224285 = 3 x 5 x 7 x 7 x 7 x 7 x 181 x 199

Step 4: Therefore, the least common multiple of 36015 and 36019 is 1297224285.