Least Common Multiple of 10139 and 10146

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

• Least Common Multiple of 10139 and 10146 by Prime method
• Least Common Multiple of 10139 and 10146 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10139 and 10146. First we will calculate the prime factors of 10139 and 10146.

Prime Factorization of 10139

Prime factors of 10139 are 10139. Prime factorization of 10139 in exponential form is:

10139 = 10139¹

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 10139 and 10146.

LCM(10139,10146) = 2¹×3¹×19¹×89¹×10139¹
LCM(10139,10146) = 102870294

Factors of 10139

List of positive integer factors of 10139 that divides 10139 without a remainder.

1, 10139

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 10139 and 10146, than apply into the LCM equation.

GCF(10139,10146) = 1
LCM(10139,10146) = ( 10139 × 10146) / 1
LCM(10139,10146) = 102870294 / 1
LCM(10139,10146) = 102870294

(i) The LCM of 10146 and 10139 is associative

LCM of 10139 and 10146 = LCM of 10146 and 10139

1. What is the LCM of 10139 and 10146?

Answer: LCM of 10139 and 10146 is 102870294.

2. What are the Factors of 10139?

Answer: Factors of 10139 are 1, 10139. There are 2 integers that are factors of 10139. The greatest factor of 10139 is 10139.

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 10139 and 10146?

Answer:

Least Common Multiple of 10139 and 10146 = 102870294

Step 1: Find the prime factorization of 10139

10139 = 10139

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 = 102870294 = 2 x 3 x 19 x 89 x 10139

Step 4: Therefore, the least common multiple of 10139 and 10146 is 102870294.