Least Common Multiple of 10057 and 10065

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

• Least Common Multiple of 10057 and 10065 by Prime method
• Least Common Multiple of 10057 and 10065 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10057 and 10065. First we will calculate the prime factors of 10057 and 10065.

Prime Factorization of 10057

Prime factors of 10057 are 89,113. Prime factorization of 10057 in exponential form is:

10057 = 89¹×113¹

Prime Factorization of 10065

Prime factors of 10065 are 3, 5, 11,61. Prime factorization of 10065 in exponential form is:

10065 = 3¹×5¹×11¹×61¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10057 and 10065.

LCM(10057,10065) = 3¹×5¹×11¹×61¹×89¹×113¹
LCM(10057,10065) = 101223705

Factors of 10057

List of positive integer factors of 10057 that divides 10057 without a remainder.

1, 89, 113, 10057

Factors of 10065

List of positive integer factors of 10065 that divides 10065 without a remainder.

1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10057 and 10065, than apply into the LCM equation.

GCF(10057,10065) = 1
LCM(10057,10065) = ( 10057 × 10065) / 1
LCM(10057,10065) = 101223705 / 1
LCM(10057,10065) = 101223705

(i) The LCM of 10065 and 10057 is associative

LCM of 10057 and 10065 = LCM of 10065 and 10057

1. What is the LCM of 10057 and 10065?

Answer: LCM of 10057 and 10065 is 101223705.

2. What are the Factors of 10057?

Answer: Factors of 10057 are 1, 89, 113, 10057. There are 4 integers that are factors of 10057. The greatest factor of 10057 is 10057.

3. What are the Factors of 10065?

Answer: Factors of 10065 are 1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065. There are 16 integers that are factors of 10065. The greatest factor of 10065 is 10065.

4. How to Find the LCM of 10057 and 10065?

Answer:

Least Common Multiple of 10057 and 10065 = 101223705

Step 1: Find the prime factorization of 10057

10057 = 89 x 113

Step 2: Find the prime factorization of 10065

10065 = 3 x 5 x 11 x 61

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

LCM = 101223705 = 3 x 5 x 11 x 61 x 89 x 113

Step 4: Therefore, the least common multiple of 10057 and 10065 is 101223705.