Least Common Multiple of 39013 and 39018

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

• Least Common Multiple of 39013 and 39018 by Prime method
• Least Common Multiple of 39013 and 39018 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39013 and 39018. First we will calculate the prime factors of 39013 and 39018.

Prime Factorization of 39013

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

39013 = 13¹×3001¹

Prime Factorization of 39018

Prime factors of 39018 are 2, 3, 7,929. Prime factorization of 39018 in exponential form is:

39018 = 2¹×3¹×7¹×929¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39013 and 39018.

LCM(39013,39018) = 2¹×3¹×7¹×13¹×929¹×3001¹
LCM(39013,39018) = 1522209234

Factors of 39013

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

1, 13, 3001, 39013

Factors of 39018

List of positive integer factors of 39018 that divides 39018 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 929, 1858, 2787, 5574, 6503, 13006, 19509, 39018

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39013 and 39018, than apply into the LCM equation.

GCF(39013,39018) = 1
LCM(39013,39018) = ( 39013 × 39018) / 1
LCM(39013,39018) = 1522209234 / 1
LCM(39013,39018) = 1522209234

(i) The LCM of 39018 and 39013 is associative

LCM of 39013 and 39018 = LCM of 39018 and 39013

1. What is the LCM of 39013 and 39018?

Answer: LCM of 39013 and 39018 is 1522209234.

2. 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.

3. What are the Factors of 39018?

Answer: Factors of 39018 are 1, 2, 3, 6, 7, 14, 21, 42, 929, 1858, 2787, 5574, 6503, 13006, 19509, 39018. There are 16 integers that are factors of 39018. The greatest factor of 39018 is 39018.

4. How to Find the LCM of 39013 and 39018?

Answer:

Least Common Multiple of 39013 and 39018 = 1522209234

Step 1: Find the prime factorization of 39013

39013 = 13 x 3001

Step 2: Find the prime factorization of 39018

39018 = 2 x 3 x 7 x 929

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

LCM = 1522209234 = 2 x 3 x 7 x 13 x 929 x 3001

Step 4: Therefore, the least common multiple of 39013 and 39018 is 1522209234.