Least Common Multiple of 10160 and 10164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10160 and 10164 the smallest integer that is 25816560 that is divisible by both numbers.

Least Common Multiple (LCM) of 10160 and 10164 is 25816560.

LCM(10160,10164) = 25816560

LCM of 10160 and 10164

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

LCM of:
and

Least Common Multiple of 10160 and 10164

LCM of 10160 and 10164 is 25816560

Least common multiple can be found by multiplying the highest exponent prime factors of 10160 and 10164. First we will calculate the prime factors of 10160 and 10164.

Prime Factorization of 10160


2 10160
2 5080
2 2540
2 1270
5 635
127 127
1

Prime factors of 10160 are 2, 5,127. Prime factorization of 10160 in exponential form is:

10160 = 24×51×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10160 and 10164.

LCM(10160,10164) = 24×31×51×71×112×1271
LCM(10160,10164) = 25816560

Factors of 10160

List of positive integer factors of 10160 that divides 10160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080, 10160

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

Least Common Multiple of 10160 and 10164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10160 and 10164, than apply into the LCM equation.

GCF(10160,10164) = 4
LCM(10160,10164) = ( 10160 × 10164) / 4
LCM(10160,10164) = 103266240 / 4
LCM(10160,10164) = 25816560

Properties of LCM 10160 and 10164

(i) The LCM of 10164 and 10160 is associative

LCM of 10160 and 10164 = LCM of 10164 and 10160

Related Least Common Multiples of 10160

Related Least Common Multiples of 10164

Frequently Asked Questions on LCM of 10160 and 10164

1. What is the LCM of 10160 and 10164?

Answer: LCM of 10160 and 10164 is 25816560.

2. What are the Factors of 10160?

Answer: Factors of 10160 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080, 10160. There are 20 integers that are factors of 10160. The greatest factor of 10160 is 10160.

3. 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.

4. How to Find the LCM of 10160 and 10164?

Answer:

Least Common Multiple of 10160 and 10164 = 25816560

Step 1: Find the prime factorization of 10160

10160 = 2 x 2 x 2 x 2 x 5 x 127

Step 2: Find the prime factorization of 10164

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

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

LCM = 25816560 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 11 x 127

Step 4: Therefore, the least common multiple of 10160 and 10164 is 25816560.