Least Common Multiple of 10182 and 10186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10182 and 10186 the smallest integer that is 51856926 that is divisible by both numbers.

Least Common Multiple (LCM) of 10182 and 10186 is 51856926.

LCM(10182,10186) = 51856926

LCM of 10182 and 10186

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

LCM of:
and

Least Common Multiple of 10182 and 10186

LCM of 10182 and 10186 is 51856926

Least common multiple can be found by multiplying the highest exponent prime factors of 10182 and 10186. First we will calculate the prime factors of 10182 and 10186.

Prime Factorization of 10182


2 10182
3 5091
1697 1697
1

Prime factors of 10182 are 2, 3,1697. Prime factorization of 10182 in exponential form is:

10182 = 21×31×16971

Prime Factorization of 10186


2 10186
11 5093
463 463
1

Prime factors of 10186 are 2, 11,463. Prime factorization of 10186 in exponential form is:

10186 = 21×111×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 10182 and 10186.

LCM(10182,10186) = 21×31×111×4631×16971
LCM(10182,10186) = 51856926

Factors of 10182

List of positive integer factors of 10182 that divides 10182 without a remainder.

1, 2, 3, 6, 1697, 3394, 5091, 10182

Factors of 10186

List of positive integer factors of 10186 that divides 10186 without a remainder.

1, 2, 11, 22, 463, 926, 5093, 10186

Least Common Multiple of 10182 and 10186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10182 and 10186, than apply into the LCM equation.

GCF(10182,10186) = 2
LCM(10182,10186) = ( 10182 × 10186) / 2
LCM(10182,10186) = 103713852 / 2
LCM(10182,10186) = 51856926

Properties of LCM 10182 and 10186

(i) The LCM of 10186 and 10182 is associative

LCM of 10182 and 10186 = LCM of 10186 and 10182

Related Least Common Multiples of 10182

Related Least Common Multiples of 10186

Frequently Asked Questions on LCM of 10182 and 10186

1. What is the LCM of 10182 and 10186?

Answer: LCM of 10182 and 10186 is 51856926.

2. What are the Factors of 10182?

Answer: Factors of 10182 are 1, 2, 3, 6, 1697, 3394, 5091, 10182. There are 8 integers that are factors of 10182. The greatest factor of 10182 is 10182.

3. What are the Factors of 10186?

Answer: Factors of 10186 are 1, 2, 11, 22, 463, 926, 5093, 10186. There are 8 integers that are factors of 10186. The greatest factor of 10186 is 10186.

4. How to Find the LCM of 10182 and 10186?

Answer:

Least Common Multiple of 10182 and 10186 = 51856926

Step 1: Find the prime factorization of 10182

10182 = 2 x 3 x 1697

Step 2: Find the prime factorization of 10186

10186 = 2 x 11 x 463

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

LCM = 51856926 = 2 x 3 x 11 x 463 x 1697

Step 4: Therefore, the least common multiple of 10182 and 10186 is 51856926.