Least Common Multiple of 39005 and 39011

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

• Least Common Multiple of 39005 and 39011 by Prime method
• Least Common Multiple of 39005 and 39011 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39005 and 39011. First we will calculate the prime factors of 39005 and 39011.

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 39011

Prime factors of 39011 are 7,5573. Prime factorization of 39011 in exponential form is:

39011 = 7¹×5573¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39005 and 39011.

LCM(39005,39011) = 5¹×7¹×29¹×269¹×5573¹
LCM(39005,39011) = 1521624055

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 39011

List of positive integer factors of 39011 that divides 39011 without a remainder.

1, 7, 5573, 39011

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39005 and 39011, than apply into the LCM equation.

GCF(39005,39011) = 1
LCM(39005,39011) = ( 39005 × 39011) / 1
LCM(39005,39011) = 1521624055 / 1
LCM(39005,39011) = 1521624055

(i) The LCM of 39011 and 39005 is associative

LCM of 39005 and 39011 = LCM of 39011 and 39005

1. What is the LCM of 39005 and 39011?

Answer: LCM of 39005 and 39011 is 1521624055.

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 39011?

Answer: Factors of 39011 are 1, 7, 5573, 39011. There are 4 integers that are factors of 39011. The greatest factor of 39011 is 39011.

4. How to Find the LCM of 39005 and 39011?

Answer:

Least Common Multiple of 39005 and 39011 = 1521624055

Step 1: Find the prime factorization of 39005

39005 = 5 x 29 x 269

Step 2: Find the prime factorization of 39011

39011 = 7 x 5573

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

LCM = 1521624055 = 5 x 7 x 29 x 269 x 5573

Step 4: Therefore, the least common multiple of 39005 and 39011 is 1521624055.