Least Common Multiple of 39005 and 39013

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

• Least Common Multiple of 39005 and 39013 by Prime method
• Least Common Multiple of 39005 and 39013 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39005 and 39013. First we will calculate the prime factors of 39005 and 39013.

Prime Factorization of 39005

Prime factors of 39005 are 5, 29,269. Prime factorization of 39005 in exponential form is:

39005 = 5¹×29¹×269¹

Prime Factorization of 39013

Prime factors of 39013 are 13,3001. Prime factorization of 39013 in exponential form is:

39013 = 13¹×3001¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39005 and 39013.

LCM(39005,39013) = 5¹×13¹×29¹×269¹×3001¹
LCM(39005,39013) = 1521702065

Factors of 39005

List of positive integer factors of 39005 that divides 39005 without a remainder.

1, 5, 29, 145, 269, 1345, 7801, 39005

Factors of 39013

List of positive integer factors of 39013 that divides 39013 without a remainder.

1, 13, 3001, 39013

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39005 and 39013, than apply into the LCM equation.

GCF(39005,39013) = 1
LCM(39005,39013) = ( 39005 × 39013) / 1
LCM(39005,39013) = 1521702065 / 1
LCM(39005,39013) = 1521702065

(i) The LCM of 39013 and 39005 is associative

LCM of 39005 and 39013 = LCM of 39013 and 39005

1. What is the LCM of 39005 and 39013?

Answer: LCM of 39005 and 39013 is 1521702065.

2. What are the Factors of 39005?

Answer: Factors of 39005 are 1, 5, 29, 145, 269, 1345, 7801, 39005. There are 8 integers that are factors of 39005. The greatest factor of 39005 is 39005.

3. What are the Factors of 39013?

Answer: Factors of 39013 are 1, 13, 3001, 39013. There are 4 integers that are factors of 39013. The greatest factor of 39013 is 39013.

4. How to Find the LCM of 39005 and 39013?

Answer:

Least Common Multiple of 39005 and 39013 = 1521702065

Step 1: Find the prime factorization of 39005

39005 = 5 x 29 x 269

Step 2: Find the prime factorization of 39013

39013 = 13 x 3001

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

LCM = 1521702065 = 5 x 13 x 29 x 269 x 3001

Step 4: Therefore, the least common multiple of 39005 and 39013 is 1521702065.