Least Common Multiple of 10170 and 10177

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

• Least Common Multiple of 10170 and 10177 by Prime method
• Least Common Multiple of 10170 and 10177 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10170 and 10177. First we will calculate the prime factors of 10170 and 10177.

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

Prime Factorization of 10177

Prime factors of 10177 are 10177. Prime factorization of 10177 in exponential form is:

10177 = 10177¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10170 and 10177.

LCM(10170,10177) = 2¹×3²×5¹×113¹×10177¹
LCM(10170,10177) = 103500090

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

Factors of 10177

List of positive integer factors of 10177 that divides 10177 without a remainder.

1, 10177

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10170 and 10177, than apply into the LCM equation.

GCF(10170,10177) = 1
LCM(10170,10177) = ( 10170 × 10177) / 1
LCM(10170,10177) = 103500090 / 1
LCM(10170,10177) = 103500090

(i) The LCM of 10177 and 10170 is associative

LCM of 10170 and 10177 = LCM of 10177 and 10170

1. What is the LCM of 10170 and 10177?

Answer: LCM of 10170 and 10177 is 103500090.

2. 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.

3. What are the Factors of 10177?

Answer: Factors of 10177 are 1, 10177. There are 2 integers that are factors of 10177. The greatest factor of 10177 is 10177.

4. How to Find the LCM of 10170 and 10177?

Answer:

Least Common Multiple of 10170 and 10177 = 103500090

Step 1: Find the prime factorization of 10170

10170 = 2 x 3 x 3 x 5 x 113

Step 2: Find the prime factorization of 10177

10177 = 10177

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

LCM = 103500090 = 2 x 3 x 3 x 5 x 113 x 10177

Step 4: Therefore, the least common multiple of 10170 and 10177 is 103500090.