Least Common Multiple of 10141 and 10146

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

• Least Common Multiple of 10141 and 10146 by Prime method
• Least Common Multiple of 10141 and 10146 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10141 and 10146. First we will calculate the prime factors of 10141 and 10146.

Prime Factorization of 10141

Prime factors of 10141 are 10141. Prime factorization of 10141 in exponential form is:

10141 = 10141¹

Prime Factorization of 10146

Prime factors of 10146 are 2, 3, 19,89. Prime factorization of 10146 in exponential form is:

10146 = 2¹×3¹×19¹×89¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10141 and 10146.

LCM(10141,10146) = 2¹×3¹×19¹×89¹×10141¹
LCM(10141,10146) = 102890586

Factors of 10141

List of positive integer factors of 10141 that divides 10141 without a remainder.

1, 10141

Factors of 10146

List of positive integer factors of 10146 that divides 10146 without a remainder.

1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10141 and 10146, than apply into the LCM equation.

GCF(10141,10146) = 1
LCM(10141,10146) = ( 10141 × 10146) / 1
LCM(10141,10146) = 102890586 / 1
LCM(10141,10146) = 102890586

(i) The LCM of 10146 and 10141 is associative

LCM of 10141 and 10146 = LCM of 10146 and 10141

1. What is the LCM of 10141 and 10146?

Answer: LCM of 10141 and 10146 is 102890586.

2. What are the Factors of 10141?

Answer: Factors of 10141 are 1, 10141. There are 2 integers that are factors of 10141. The greatest factor of 10141 is 10141.

3. What are the Factors of 10146?

Answer: Factors of 10146 are 1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146. There are 16 integers that are factors of 10146. The greatest factor of 10146 is 10146.

4. How to Find the LCM of 10141 and 10146?

Answer:

Least Common Multiple of 10141 and 10146 = 102890586

Step 1: Find the prime factorization of 10141

10141 = 10141

Step 2: Find the prime factorization of 10146

10146 = 2 x 3 x 19 x 89

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

LCM = 102890586 = 2 x 3 x 19 x 89 x 10141

Step 4: Therefore, the least common multiple of 10141 and 10146 is 102890586.