Least Common Multiple of 36019 and 36025

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

• Least Common Multiple of 36019 and 36025 by Prime method
• Least Common Multiple of 36019 and 36025 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36019 and 36025. First we will calculate the prime factors of 36019 and 36025.

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 36025

Prime factors of 36025 are 5, 11,131. Prime factorization of 36025 in exponential form is:

36025 = 5²×11¹×131¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36019 and 36025.

LCM(36019,36025) = 5²×11¹×131¹×181¹×199¹
LCM(36019,36025) = 1297584475

Factors of 36019

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

1, 181, 199, 36019

Factors of 36025

List of positive integer factors of 36025 that divides 36025 without a remainder.

1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36019 and 36025, than apply into the LCM equation.

GCF(36019,36025) = 1
LCM(36019,36025) = ( 36019 × 36025) / 1
LCM(36019,36025) = 1297584475 / 1
LCM(36019,36025) = 1297584475

(i) The LCM of 36025 and 36019 is associative

LCM of 36019 and 36025 = LCM of 36025 and 36019

1. What is the LCM of 36019 and 36025?

Answer: LCM of 36019 and 36025 is 1297584475.

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 36025?

Answer: Factors of 36025 are 1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025. There are 12 integers that are factors of 36025. The greatest factor of 36025 is 36025.

4. How to Find the LCM of 36019 and 36025?

Answer:

Least Common Multiple of 36019 and 36025 = 1297584475

Step 1: Find the prime factorization of 36019

36019 = 181 x 199

Step 2: Find the prime factorization of 36025

36025 = 5 x 5 x 11 x 131

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

LCM = 1297584475 = 5 x 5 x 11 x 131 x 181 x 199

Step 4: Therefore, the least common multiple of 36019 and 36025 is 1297584475.