Least Common Multiple of 10156 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 10156 and 10164 the smallest integer that is 25806396 that is divisible by both numbers.

Least Common Multiple (LCM) of 10156 and 10164 is 25806396.

LCM(10156,10164) = 25806396

LCM of 10156 and 10164

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

LCM of:
and

Least Common Multiple of 10156 and 10164

LCM of 10156 and 10164 is 25806396

Least common multiple can be found by multiplying the highest exponent prime factors of 10156 and 10164. First we will calculate the prime factors of 10156 and 10164.

Prime Factorization of 10156


2 10156
2 5078
2539 2539
1

Prime factors of 10156 are 2,2539. Prime factorization of 10156 in exponential form is:

10156 = 22×25391

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 10156 and 10164.

LCM(10156,10164) = 22×31×71×112×25391
LCM(10156,10164) = 25806396

Factors of 10156

List of positive integer factors of 10156 that divides 10156 without a remainder.

1, 2, 4, 2539, 5078, 10156

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 10156 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 10156 and 10164, than apply into the LCM equation.

GCF(10156,10164) = 4
LCM(10156,10164) = ( 10156 × 10164) / 4
LCM(10156,10164) = 103225584 / 4
LCM(10156,10164) = 25806396

Properties of LCM 10156 and 10164

(i) The LCM of 10164 and 10156 is associative

LCM of 10156 and 10164 = LCM of 10164 and 10156

Related Least Common Multiples of 10156

Related Least Common Multiples of 10164

Frequently Asked Questions on LCM of 10156 and 10164

1. What is the LCM of 10156 and 10164?

Answer: LCM of 10156 and 10164 is 25806396.

2. What are the Factors of 10156?

Answer: Factors of 10156 are 1, 2, 4, 2539, 5078, 10156. There are 6 integers that are factors of 10156. The greatest factor of 10156 is 10156.

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 10156 and 10164?

Answer:

Least Common Multiple of 10156 and 10164 = 25806396

Step 1: Find the prime factorization of 10156

10156 = 2 x 2 x 2539

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 = 25806396 = 2 x 2 x 3 x 7 x 11 x 11 x 2539

Step 4: Therefore, the least common multiple of 10156 and 10164 is 25806396.