Least Common Multiple of 10158 and 10162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10158 and 10162 the smallest integer that is 51612798 that is divisible by both numbers.

Least Common Multiple (LCM) of 10158 and 10162 is 51612798.

LCM(10158,10162) = 51612798

LCM of 10158 and 10162

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

LCM of:
and

Least Common Multiple of 10158 and 10162

LCM of 10158 and 10162 is 51612798

Least common multiple can be found by multiplying the highest exponent prime factors of 10158 and 10162. First we will calculate the prime factors of 10158 and 10162.

Prime Factorization of 10158


2 10158
3 5079
1693 1693
1

Prime factors of 10158 are 2, 3,1693. Prime factorization of 10158 in exponential form is:

10158 = 21×31×16931

Prime Factorization of 10162


2 10162
5081 5081
1

Prime factors of 10162 are 2,5081. Prime factorization of 10162 in exponential form is:

10162 = 21×50811

Now multiplying the highest exponent prime factors to calculate the LCM of 10158 and 10162.

LCM(10158,10162) = 21×31×16931×50811
LCM(10158,10162) = 51612798

Factors of 10158

List of positive integer factors of 10158 that divides 10158 without a remainder.

1, 2, 3, 6, 1693, 3386, 5079, 10158

Factors of 10162

List of positive integer factors of 10162 that divides 10162 without a remainder.

1, 2, 5081, 10162

Least Common Multiple of 10158 and 10162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10158 and 10162, than apply into the LCM equation.

GCF(10158,10162) = 2
LCM(10158,10162) = ( 10158 × 10162) / 2
LCM(10158,10162) = 103225596 / 2
LCM(10158,10162) = 51612798

Properties of LCM 10158 and 10162

(i) The LCM of 10162 and 10158 is associative

LCM of 10158 and 10162 = LCM of 10162 and 10158

Related Least Common Multiples of 10158

Related Least Common Multiples of 10162

Frequently Asked Questions on LCM of 10158 and 10162

1. What is the LCM of 10158 and 10162?

Answer: LCM of 10158 and 10162 is 51612798.

2. What are the Factors of 10158?

Answer: Factors of 10158 are 1, 2, 3, 6, 1693, 3386, 5079, 10158. There are 8 integers that are factors of 10158. The greatest factor of 10158 is 10158.

3. What are the Factors of 10162?

Answer: Factors of 10162 are 1, 2, 5081, 10162. There are 4 integers that are factors of 10162. The greatest factor of 10162 is 10162.

4. How to Find the LCM of 10158 and 10162?

Answer:

Least Common Multiple of 10158 and 10162 = 51612798

Step 1: Find the prime factorization of 10158

10158 = 2 x 3 x 1693

Step 2: Find the prime factorization of 10162

10162 = 2 x 5081

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

LCM = 51612798 = 2 x 3 x 1693 x 5081

Step 4: Therefore, the least common multiple of 10158 and 10162 is 51612798.