Least Common Multiple of 65013 and 65015

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

• Least Common Multiple of 65013 and 65015 by Prime method
• Least Common Multiple of 65013 and 65015 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 65013 and 65015. First we will calculate the prime factors of 65013 and 65015.

Prime Factorization of 65013

Prime factors of 65013 are 3, 13,1667. Prime factorization of 65013 in exponential form is:

65013 = 3¹×13¹×1667¹

Prime Factorization of 65015

Prime factors of 65015 are 5,13003. Prime factorization of 65015 in exponential form is:

65015 = 5¹×13003¹

Now multiplying the highest exponent prime factors to calculate the LCM of 65013 and 65015.

LCM(65013,65015) = 3¹×5¹×13¹×1667¹×13003¹
LCM(65013,65015) = 4226820195

Factors of 65013

List of positive integer factors of 65013 that divides 65013 without a remainder.

1, 3, 13, 39, 1667, 5001, 21671, 65013

Factors of 65015

List of positive integer factors of 65015 that divides 65015 without a remainder.

1, 5, 13003, 65015

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65013 and 65015, than apply into the LCM equation.

GCF(65013,65015) = 1
LCM(65013,65015) = ( 65013 × 65015) / 1
LCM(65013,65015) = 4226820195 / 1
LCM(65013,65015) = 4226820195

(i) The LCM of 65015 and 65013 is associative

LCM of 65013 and 65015 = LCM of 65015 and 65013

1. What is the LCM of 65013 and 65015?

Answer: LCM of 65013 and 65015 is 4226820195.

2. What are the Factors of 65013?

Answer: Factors of 65013 are 1, 3, 13, 39, 1667, 5001, 21671, 65013. There are 8 integers that are factors of 65013. The greatest factor of 65013 is 65013.

3. What are the Factors of 65015?

Answer: Factors of 65015 are 1, 5, 13003, 65015. There are 4 integers that are factors of 65015. The greatest factor of 65015 is 65015.

4. How to Find the LCM of 65013 and 65015?

Answer:

Least Common Multiple of 65013 and 65015 = 4226820195

Step 1: Find the prime factorization of 65013

65013 = 3 x 13 x 1667

Step 2: Find the prime factorization of 65015

65015 = 5 x 13003

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

LCM = 4226820195 = 3 x 5 x 13 x 1667 x 13003

Step 4: Therefore, the least common multiple of 65013 and 65015 is 4226820195.