Least Common Multiple of 39059 and 39065

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

• Least Common Multiple of 39059 and 39065 by Prime method
• Least Common Multiple of 39059 and 39065 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39059 and 39065. First we will calculate the prime factors of 39059 and 39065.

Prime Factorization of 39059

Prime factors of 39059 are 139,281. Prime factorization of 39059 in exponential form is:

39059 = 139¹×281¹

Prime Factorization of 39065

Prime factors of 39065 are 5, 13,601. Prime factorization of 39065 in exponential form is:

39065 = 5¹×13¹×601¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39059 and 39065.

LCM(39059,39065) = 5¹×13¹×139¹×281¹×601¹
LCM(39059,39065) = 1525839835

Factors of 39059

List of positive integer factors of 39059 that divides 39059 without a remainder.

1, 139, 281, 39059

Factors of 39065

List of positive integer factors of 39065 that divides 39065 without a remainder.

1, 5, 13, 65, 601, 3005, 7813, 39065

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39059 and 39065, than apply into the LCM equation.

GCF(39059,39065) = 1
LCM(39059,39065) = ( 39059 × 39065) / 1
LCM(39059,39065) = 1525839835 / 1
LCM(39059,39065) = 1525839835

(i) The LCM of 39065 and 39059 is associative

LCM of 39059 and 39065 = LCM of 39065 and 39059

1. What is the LCM of 39059 and 39065?

Answer: LCM of 39059 and 39065 is 1525839835.

2. What are the Factors of 39059?

Answer: Factors of 39059 are 1, 139, 281, 39059. There are 4 integers that are factors of 39059. The greatest factor of 39059 is 39059.

3. What are the Factors of 39065?

Answer: Factors of 39065 are 1, 5, 13, 65, 601, 3005, 7813, 39065. There are 8 integers that are factors of 39065. The greatest factor of 39065 is 39065.

4. How to Find the LCM of 39059 and 39065?

Answer:

Least Common Multiple of 39059 and 39065 = 1525839835

Step 1: Find the prime factorization of 39059

39059 = 139 x 281

Step 2: Find the prime factorization of 39065

39065 = 5 x 13 x 601

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

LCM = 1525839835 = 5 x 13 x 139 x 281 x 601

Step 4: Therefore, the least common multiple of 39059 and 39065 is 1525839835.