Least Common Multiple of 10164 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 10164 and 10170 the smallest integer that is 17227980 that is divisible by both numbers.

Least Common Multiple (LCM) of 10164 and 10170 is 17227980.

LCM(10164,10170) = 17227980

LCM of 10164 and 10170

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

LCM of:
and

Least Common Multiple of 10164 and 10170

LCM of 10164 and 10170 is 17227980

Least common multiple can be found by multiplying the highest exponent prime factors of 10164 and 10170. First we will calculate the prime factors of 10164 and 10170.

Prime Factorization of 10164


2 10164
2 5082
3 2541
7 847
11 121
11 11
1

Prime factors of 10164 are 2, 3, 7,11. Prime factorization of 10164 in exponential form is:

10164 = 22×31×71×112

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 10164 and 10170.

LCM(10164,10170) = 22×32×51×71×112×1131
LCM(10164,10170) = 17227980

Factors of 10164

List of positive integer factors of 10164 that divides 10164 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 121, 132, 154, 231, 242, 308, 363, 462, 484, 726, 847, 924, 1452, 1694, 2541, 3388, 5082, 10164

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 10164 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 10164 and 10170, than apply into the LCM equation.

GCF(10164,10170) = 6
LCM(10164,10170) = ( 10164 × 10170) / 6
LCM(10164,10170) = 103367880 / 6
LCM(10164,10170) = 17227980

Properties of LCM 10164 and 10170

(i) The LCM of 10170 and 10164 is associative

LCM of 10164 and 10170 = LCM of 10170 and 10164

Related Least Common Multiples of 10164

Related Least Common Multiples of 10170

Frequently Asked Questions on LCM of 10164 and 10170

1. What is the LCM of 10164 and 10170?

Answer: LCM of 10164 and 10170 is 17227980.

2. What are the Factors of 10164?

Answer: Factors of 10164 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 121, 132, 154, 231, 242, 308, 363, 462, 484, 726, 847, 924, 1452, 1694, 2541, 3388, 5082, 10164. There are 36 integers that are factors of 10164. The greatest factor of 10164 is 10164.

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 10164 and 10170?

Answer:

Least Common Multiple of 10164 and 10170 = 17227980

Step 1: Find the prime factorization of 10164

10164 = 2 x 2 x 3 x 7 x 11 x 11

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 = 17227980 = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 11 x 113

Step 4: Therefore, the least common multiple of 10164 and 10170 is 17227980.