Least Common Multiple of 10062 and 10069

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

• Least Common Multiple of 10062 and 10069 by Prime method
• Least Common Multiple of 10062 and 10069 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10062 and 10069. First we will calculate the prime factors of 10062 and 10069.

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 10069

Prime factors of 10069 are 10069. Prime factorization of 10069 in exponential form is:

10069 = 10069¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10062 and 10069.

LCM(10062,10069) = 2¹×3²×13¹×43¹×10069¹
LCM(10062,10069) = 101314278

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 10069

List of positive integer factors of 10069 that divides 10069 without a remainder.

1, 10069

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10062 and 10069, than apply into the LCM equation.

GCF(10062,10069) = 1
LCM(10062,10069) = ( 10062 × 10069) / 1
LCM(10062,10069) = 101314278 / 1
LCM(10062,10069) = 101314278

(i) The LCM of 10069 and 10062 is associative

LCM of 10062 and 10069 = LCM of 10069 and 10062

1. What is the LCM of 10062 and 10069?

Answer: LCM of 10062 and 10069 is 101314278.

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 10069?

Answer: Factors of 10069 are 1, 10069. There are 2 integers that are factors of 10069. The greatest factor of 10069 is 10069.

4. How to Find the LCM of 10062 and 10069?

Answer:

Least Common Multiple of 10062 and 10069 = 101314278

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 10069

10069 = 10069

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

LCM = 101314278 = 2 x 3 x 3 x 13 x 43 x 10069

Step 4: Therefore, the least common multiple of 10062 and 10069 is 101314278.