Least Common Multiple of 10171 and 10178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10171 and 10178 the smallest integer that is 14788634 that is divisible by both numbers.

Least Common Multiple (LCM) of 10171 and 10178 is 14788634.

LCM(10171,10178) = 14788634

LCM of 10171 and 10178

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

LCM of:
and

Least Common Multiple of 10171 and 10178

LCM of 10171 and 10178 is 14788634

Least common multiple can be found by multiplying the highest exponent prime factors of 10171 and 10178. First we will calculate the prime factors of 10171 and 10178.

Prime Factorization of 10171


7 10171
1453 1453
1

Prime factors of 10171 are 7,1453. Prime factorization of 10171 in exponential form is:

10171 = 71×14531

Prime Factorization of 10178


2 10178
7 5089
727 727
1

Prime factors of 10178 are 2, 7,727. Prime factorization of 10178 in exponential form is:

10178 = 21×71×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 10171 and 10178.

LCM(10171,10178) = 21×71×7271×14531
LCM(10171,10178) = 14788634

Factors of 10171

List of positive integer factors of 10171 that divides 10171 without a remainder.

1, 7, 1453, 10171

Factors of 10178

List of positive integer factors of 10178 that divides 10178 without a remainder.

1, 2, 7, 14, 727, 1454, 5089, 10178

Least Common Multiple of 10171 and 10178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10171 and 10178, than apply into the LCM equation.

GCF(10171,10178) = 7
LCM(10171,10178) = ( 10171 × 10178) / 7
LCM(10171,10178) = 103520438 / 7
LCM(10171,10178) = 14788634

Properties of LCM 10171 and 10178

(i) The LCM of 10178 and 10171 is associative

LCM of 10171 and 10178 = LCM of 10178 and 10171

Related Least Common Multiples of 10171

Related Least Common Multiples of 10178

Frequently Asked Questions on LCM of 10171 and 10178

1. What is the LCM of 10171 and 10178?

Answer: LCM of 10171 and 10178 is 14788634.

2. What are the Factors of 10171?

Answer: Factors of 10171 are 1, 7, 1453, 10171. There are 4 integers that are factors of 10171. The greatest factor of 10171 is 10171.

3. What are the Factors of 10178?

Answer: Factors of 10178 are 1, 2, 7, 14, 727, 1454, 5089, 10178. There are 8 integers that are factors of 10178. The greatest factor of 10178 is 10178.

4. How to Find the LCM of 10171 and 10178?

Answer:

Least Common Multiple of 10171 and 10178 = 14788634

Step 1: Find the prime factorization of 10171

10171 = 7 x 1453

Step 2: Find the prime factorization of 10178

10178 = 2 x 7 x 727

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

LCM = 14788634 = 2 x 7 x 727 x 1453

Step 4: Therefore, the least common multiple of 10171 and 10178 is 14788634.