Least Common Multiple of 10034 and 10041

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

• Least Common Multiple of 10034 and 10041 by Prime method
• Least Common Multiple of 10034 and 10041 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10034 and 10041. First we will calculate the prime factors of 10034 and 10041.

Prime Factorization of 10034

Prime factors of 10034 are 2, 29,173. Prime factorization of 10034 in exponential form is:

10034 = 2¹×29¹×173¹

Prime Factorization of 10041

Prime factors of 10041 are 3,3347. Prime factorization of 10041 in exponential form is:

10041 = 3¹×3347¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10034 and 10041.

LCM(10034,10041) = 2¹×3¹×29¹×173¹×3347¹
LCM(10034,10041) = 100751394

Factors of 10034

List of positive integer factors of 10034 that divides 10034 without a remainder.

1, 2, 29, 58, 173, 346, 5017, 10034

Factors of 10041

List of positive integer factors of 10041 that divides 10041 without a remainder.

1, 3, 3347, 10041

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10034 and 10041, than apply into the LCM equation.

GCF(10034,10041) = 1
LCM(10034,10041) = ( 10034 × 10041) / 1
LCM(10034,10041) = 100751394 / 1
LCM(10034,10041) = 100751394

(i) The LCM of 10041 and 10034 is associative

LCM of 10034 and 10041 = LCM of 10041 and 10034

1. What is the LCM of 10034 and 10041?

Answer: LCM of 10034 and 10041 is 100751394.

2. What are the Factors of 10034?

Answer: Factors of 10034 are 1, 2, 29, 58, 173, 346, 5017, 10034. There are 8 integers that are factors of 10034. The greatest factor of 10034 is 10034.

3. What are the Factors of 10041?

Answer: Factors of 10041 are 1, 3, 3347, 10041. There are 4 integers that are factors of 10041. The greatest factor of 10041 is 10041.

4. How to Find the LCM of 10034 and 10041?

Answer:

Least Common Multiple of 10034 and 10041 = 100751394

Step 1: Find the prime factorization of 10034

10034 = 2 x 29 x 173

Step 2: Find the prime factorization of 10041

10041 = 3 x 3347

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

LCM = 100751394 = 2 x 3 x 29 x 173 x 3347

Step 4: Therefore, the least common multiple of 10034 and 10041 is 100751394.