Least Common Multiple of 10163 and 10170

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

• Least Common Multiple of 10163 and 10170 by Prime method
• Least Common Multiple of 10163 and 10170 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10163 and 10170. First we will calculate the prime factors of 10163 and 10170.

Prime Factorization of 10163

Prime factors of 10163 are 10163. Prime factorization of 10163 in exponential form is:

10163 = 10163¹

Prime Factorization of 10170

Prime factors of 10170 are 2, 3, 5,113. Prime factorization of 10170 in exponential form is:

10170 = 2¹×3²×5¹×113¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10163 and 10170.

LCM(10163,10170) = 2¹×3²×5¹×113¹×10163¹
LCM(10163,10170) = 103357710

Factors of 10163

List of positive integer factors of 10163 that divides 10163 without a remainder.

1, 10163

Factors of 10170

List of positive integer factors of 10170 that divides 10170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085, 10170

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10163 and 10170, than apply into the LCM equation.

GCF(10163,10170) = 1
LCM(10163,10170) = ( 10163 × 10170) / 1
LCM(10163,10170) = 103357710 / 1
LCM(10163,10170) = 103357710

(i) The LCM of 10170 and 10163 is associative

LCM of 10163 and 10170 = LCM of 10170 and 10163

1. What is the LCM of 10163 and 10170?

Answer: LCM of 10163 and 10170 is 103357710.

2. What are the Factors of 10163?

Answer: Factors of 10163 are 1, 10163. There are 2 integers that are factors of 10163. The greatest factor of 10163 is 10163.

3. What are the Factors of 10170?

Answer: Factors of 10170 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085, 10170. There are 24 integers that are factors of 10170. The greatest factor of 10170 is 10170.

4. How to Find the LCM of 10163 and 10170?

Answer:

Least Common Multiple of 10163 and 10170 = 103357710

Step 1: Find the prime factorization of 10163

10163 = 10163

Step 2: Find the prime factorization of 10170

10170 = 2 x 3 x 3 x 5 x 113

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

LCM = 103357710 = 2 x 3 x 3 x 5 x 113 x 10163

Step 4: Therefore, the least common multiple of 10163 and 10170 is 103357710.