Least Common Multiple of 10054 and 10059

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

• Least Common Multiple of 10054 and 10059 by Prime method
• Least Common Multiple of 10054 and 10059 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10054 and 10059. First we will calculate the prime factors of 10054 and 10059.

Prime Factorization of 10054

Prime factors of 10054 are 2, 11,457. Prime factorization of 10054 in exponential form is:

10054 = 2¹×11¹×457¹

Prime Factorization of 10059

Prime factors of 10059 are 3, 7,479. Prime factorization of 10059 in exponential form is:

10059 = 3¹×7¹×479¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10054 and 10059.

LCM(10054,10059) = 2¹×3¹×7¹×11¹×457¹×479¹
LCM(10054,10059) = 101133186

Factors of 10054

List of positive integer factors of 10054 that divides 10054 without a remainder.

1, 2, 11, 22, 457, 914, 5027, 10054

Factors of 10059

List of positive integer factors of 10059 that divides 10059 without a remainder.

1, 3, 7, 21, 479, 1437, 3353, 10059

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10054 and 10059, than apply into the LCM equation.

GCF(10054,10059) = 1
LCM(10054,10059) = ( 10054 × 10059) / 1
LCM(10054,10059) = 101133186 / 1
LCM(10054,10059) = 101133186

(i) The LCM of 10059 and 10054 is associative

LCM of 10054 and 10059 = LCM of 10059 and 10054

1. What is the LCM of 10054 and 10059?

Answer: LCM of 10054 and 10059 is 101133186.

2. What are the Factors of 10054?

Answer: Factors of 10054 are 1, 2, 11, 22, 457, 914, 5027, 10054. There are 8 integers that are factors of 10054. The greatest factor of 10054 is 10054.

3. What are the Factors of 10059?

Answer: Factors of 10059 are 1, 3, 7, 21, 479, 1437, 3353, 10059. There are 8 integers that are factors of 10059. The greatest factor of 10059 is 10059.

4. How to Find the LCM of 10054 and 10059?

Answer:

Least Common Multiple of 10054 and 10059 = 101133186

Step 1: Find the prime factorization of 10054

10054 = 2 x 11 x 457

Step 2: Find the prime factorization of 10059

10059 = 3 x 7 x 479

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

LCM = 101133186 = 2 x 3 x 7 x 11 x 457 x 479

Step 4: Therefore, the least common multiple of 10054 and 10059 is 101133186.