Least Common Multiple of 39019 and 39025

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

• Least Common Multiple of 39019 and 39025 by Prime method
• Least Common Multiple of 39019 and 39025 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39019 and 39025. First we will calculate the prime factors of 39019 and 39025.

Prime Factorization of 39019

Prime factors of 39019 are 39019. Prime factorization of 39019 in exponential form is:

39019 = 39019¹

Prime Factorization of 39025

Prime factors of 39025 are 5, 7,223. Prime factorization of 39025 in exponential form is:

39025 = 5²×7¹×223¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39019 and 39025.

LCM(39019,39025) = 5²×7¹×223¹×39019¹
LCM(39019,39025) = 1522716475

Factors of 39019

List of positive integer factors of 39019 that divides 39019 without a remainder.

1, 39019

Factors of 39025

List of positive integer factors of 39025 that divides 39025 without a remainder.

1, 5, 7, 25, 35, 175, 223, 1115, 1561, 5575, 7805, 39025

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39019 and 39025, than apply into the LCM equation.

GCF(39019,39025) = 1
LCM(39019,39025) = ( 39019 × 39025) / 1
LCM(39019,39025) = 1522716475 / 1
LCM(39019,39025) = 1522716475

(i) The LCM of 39025 and 39019 is associative

LCM of 39019 and 39025 = LCM of 39025 and 39019

1. What is the LCM of 39019 and 39025?

Answer: LCM of 39019 and 39025 is 1522716475.

2. What are the Factors of 39019?

Answer: Factors of 39019 are 1, 39019. There are 2 integers that are factors of 39019. The greatest factor of 39019 is 39019.

3. What are the Factors of 39025?

Answer: Factors of 39025 are 1, 5, 7, 25, 35, 175, 223, 1115, 1561, 5575, 7805, 39025. There are 12 integers that are factors of 39025. The greatest factor of 39025 is 39025.

4. How to Find the LCM of 39019 and 39025?

Answer:

Least Common Multiple of 39019 and 39025 = 1522716475

Step 1: Find the prime factorization of 39019

39019 = 39019

Step 2: Find the prime factorization of 39025

39025 = 5 x 5 x 7 x 223

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

LCM = 1522716475 = 5 x 5 x 7 x 223 x 39019

Step 4: Therefore, the least common multiple of 39019 and 39025 is 1522716475.