Least Common Multiple of 10062 and 10067

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

• Least Common Multiple of 10062 and 10067 by Prime method
• Least Common Multiple of 10062 and 10067 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10062 and 10067. First we will calculate the prime factors of 10062 and 10067.

Prime Factorization of 10062

Prime factors of 10062 are 2, 3, 13,43. Prime factorization of 10062 in exponential form is:

10062 = 2¹×3²×13¹×43¹

Prime Factorization of 10067

Prime factors of 10067 are 10067. Prime factorization of 10067 in exponential form is:

10067 = 10067¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10062 and 10067.

LCM(10062,10067) = 2¹×3²×13¹×43¹×10067¹
LCM(10062,10067) = 101294154

Factors of 10062

List of positive integer factors of 10062 that divides 10062 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062

Factors of 10067

List of positive integer factors of 10067 that divides 10067 without a remainder.

1, 10067

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10062 and 10067, than apply into the LCM equation.

GCF(10062,10067) = 1
LCM(10062,10067) = ( 10062 × 10067) / 1
LCM(10062,10067) = 101294154 / 1
LCM(10062,10067) = 101294154

(i) The LCM of 10067 and 10062 is associative

LCM of 10062 and 10067 = LCM of 10067 and 10062

1. What is the LCM of 10062 and 10067?

Answer: LCM of 10062 and 10067 is 101294154.

2. What are the Factors of 10062?

Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.

3. What are the Factors of 10067?

Answer: Factors of 10067 are 1, 10067. There are 2 integers that are factors of 10067. The greatest factor of 10067 is 10067.

4. How to Find the LCM of 10062 and 10067?

Answer:

Least Common Multiple of 10062 and 10067 = 101294154

Step 1: Find the prime factorization of 10062

10062 = 2 x 3 x 3 x 13 x 43

Step 2: Find the prime factorization of 10067

10067 = 10067

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

LCM = 101294154 = 2 x 3 x 3 x 13 x 43 x 10067

Step 4: Therefore, the least common multiple of 10062 and 10067 is 101294154.