Least Common Multiple of 39013 and 39020

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

• Least Common Multiple of 39013 and 39020 by Prime method
• Least Common Multiple of 39013 and 39020 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39013 and 39020. First we will calculate the prime factors of 39013 and 39020.

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 39020

Prime factors of 39020 are 2, 5,1951. Prime factorization of 39020 in exponential form is:

39020 = 2²×5¹×1951¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39013 and 39020.

LCM(39013,39020) = 2²×5¹×13¹×1951¹×3001¹
LCM(39013,39020) = 1522287260

Factors of 39013

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

1, 13, 3001, 39013

Factors of 39020

List of positive integer factors of 39020 that divides 39020 without a remainder.

1, 2, 4, 5, 10, 20, 1951, 3902, 7804, 9755, 19510, 39020

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39013 and 39020, than apply into the LCM equation.

GCF(39013,39020) = 1
LCM(39013,39020) = ( 39013 × 39020) / 1
LCM(39013,39020) = 1522287260 / 1
LCM(39013,39020) = 1522287260

(i) The LCM of 39020 and 39013 is associative

LCM of 39013 and 39020 = LCM of 39020 and 39013

1. What is the LCM of 39013 and 39020?

Answer: LCM of 39013 and 39020 is 1522287260.

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 39020?

Answer: Factors of 39020 are 1, 2, 4, 5, 10, 20, 1951, 3902, 7804, 9755, 19510, 39020. There are 12 integers that are factors of 39020. The greatest factor of 39020 is 39020.

4. How to Find the LCM of 39013 and 39020?

Answer:

Least Common Multiple of 39013 and 39020 = 1522287260

Step 1: Find the prime factorization of 39013

39013 = 13 x 3001

Step 2: Find the prime factorization of 39020

39020 = 2 x 2 x 5 x 1951

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

LCM = 1522287260 = 2 x 2 x 5 x 13 x 1951 x 3001

Step 4: Therefore, the least common multiple of 39013 and 39020 is 1522287260.