Least Common Multiple of 10165 and 10170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10165 and 10170 the smallest integer that is 20675610 that is divisible by both numbers.

Least Common Multiple (LCM) of 10165 and 10170 is 20675610.

LCM(10165,10170) = 20675610

LCM of 10165 and 10170

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

LCM of:
and

Least Common Multiple of 10165 and 10170

LCM of 10165 and 10170 is 20675610

Least common multiple can be found by multiplying the highest exponent prime factors of 10165 and 10170. First we will calculate the prime factors of 10165 and 10170.

Prime Factorization of 10165


5 10165
19 2033
107 107
1

Prime factors of 10165 are 5, 19,107. Prime factorization of 10165 in exponential form is:

10165 = 51×191×1071

Prime Factorization of 10170


2 10170
3 5085
3 1695
5 565
113 113
1

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 10165 and 10170.

LCM(10165,10170) = 21×32×51×191×1071×1131
LCM(10165,10170) = 20675610

Factors of 10165

List of positive integer factors of 10165 that divides 10165 without a remainder.

1, 5, 19, 95, 107, 535, 2033, 10165

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

Least Common Multiple of 10165 and 10170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10165 and 10170, than apply into the LCM equation.

GCF(10165,10170) = 5
LCM(10165,10170) = ( 10165 × 10170) / 5
LCM(10165,10170) = 103378050 / 5
LCM(10165,10170) = 20675610

Properties of LCM 10165 and 10170

(i) The LCM of 10170 and 10165 is associative

LCM of 10165 and 10170 = LCM of 10170 and 10165

Related Least Common Multiples of 10165

Related Least Common Multiples of 10170

Frequently Asked Questions on LCM of 10165 and 10170

1. What is the LCM of 10165 and 10170?

Answer: LCM of 10165 and 10170 is 20675610.

2. What are the Factors of 10165?

Answer: Factors of 10165 are 1, 5, 19, 95, 107, 535, 2033, 10165. There are 8 integers that are factors of 10165. The greatest factor of 10165 is 10165.

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 10165 and 10170?

Answer:

Least Common Multiple of 10165 and 10170 = 20675610

Step 1: Find the prime factorization of 10165

10165 = 5 x 19 x 107

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 = 20675610 = 2 x 3 x 3 x 5 x 19 x 107 x 113

Step 4: Therefore, the least common multiple of 10165 and 10170 is 20675610.