Least Common Multiple of 67010 and 67015

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

• Least Common Multiple of 67010 and 67015 by Prime method
• Least Common Multiple of 67010 and 67015 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67010 and 67015. First we will calculate the prime factors of 67010 and 67015.

Prime Factorization of 67010

Prime factors of 67010 are 2, 5,6701. Prime factorization of 67010 in exponential form is:

67010 = 2¹×5¹×6701¹

Prime Factorization of 67015

Prime factors of 67015 are 5, 13,1031. Prime factorization of 67015 in exponential form is:

67015 = 5¹×13¹×1031¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67010 and 67015.

LCM(67010,67015) = 2¹×5¹×13¹×1031¹×6701¹
LCM(67010,67015) = 898135030

Factors of 67010

List of positive integer factors of 67010 that divides 67010 without a remainder.

1, 2, 5, 10, 6701, 13402, 33505, 67010

Factors of 67015

List of positive integer factors of 67015 that divides 67015 without a remainder.

1, 5, 13, 65, 1031, 5155, 13403, 67015

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67010 and 67015, than apply into the LCM equation.

GCF(67010,67015) = 5
LCM(67010,67015) = ( 67010 × 67015) / 5
LCM(67010,67015) = 4490675150 / 5
LCM(67010,67015) = 898135030

(i) The LCM of 67015 and 67010 is associative

LCM of 67010 and 67015 = LCM of 67015 and 67010

1. What is the LCM of 67010 and 67015?

Answer: LCM of 67010 and 67015 is 898135030.

2. What are the Factors of 67010?

Answer: Factors of 67010 are 1, 2, 5, 10, 6701, 13402, 33505, 67010. There are 8 integers that are factors of 67010. The greatest factor of 67010 is 67010.

3. What are the Factors of 67015?

Answer: Factors of 67015 are 1, 5, 13, 65, 1031, 5155, 13403, 67015. There are 8 integers that are factors of 67015. The greatest factor of 67015 is 67015.

4. How to Find the LCM of 67010 and 67015?

Answer:

Least Common Multiple of 67010 and 67015 = 898135030

Step 1: Find the prime factorization of 67010

67010 = 2 x 5 x 6701

Step 2: Find the prime factorization of 67015

67015 = 5 x 13 x 1031

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

LCM = 898135030 = 2 x 5 x 13 x 1031 x 6701

Step 4: Therefore, the least common multiple of 67010 and 67015 is 898135030.