Least Common Multiple of 10155 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 10155 and 10162 the smallest integer that is 103195110 that is divisible by both numbers.

Least Common Multiple (LCM) of 10155 and 10162 is 103195110.

LCM(10155,10162) = 103195110

LCM of 10155 and 10162

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

LCM of:
and

Least Common Multiple of 10155 and 10162

LCM of 10155 and 10162 is 103195110

Least common multiple can be found by multiplying the highest exponent prime factors of 10155 and 10162. First we will calculate the prime factors of 10155 and 10162.

Prime Factorization of 10155


3 10155
5 3385
677 677
1

Prime factors of 10155 are 3, 5,677. Prime factorization of 10155 in exponential form is:

10155 = 31×51×6771

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 10155 and 10162.

LCM(10155,10162) = 21×31×51×6771×50811
LCM(10155,10162) = 103195110

Factors of 10155

List of positive integer factors of 10155 that divides 10155 without a remainder.

1, 3, 5, 15, 677, 2031, 3385, 10155

Factors of 10162

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

1, 2, 5081, 10162

Least Common Multiple of 10155 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 10155 and 10162, than apply into the LCM equation.

GCF(10155,10162) = 1
LCM(10155,10162) = ( 10155 × 10162) / 1
LCM(10155,10162) = 103195110 / 1
LCM(10155,10162) = 103195110

Properties of LCM 10155 and 10162

(i) The LCM of 10162 and 10155 is associative

LCM of 10155 and 10162 = LCM of 10162 and 10155

Related Least Common Multiples of 10155

Related Least Common Multiples of 10162

Frequently Asked Questions on LCM of 10155 and 10162

1. What is the LCM of 10155 and 10162?

Answer: LCM of 10155 and 10162 is 103195110.

2. What are the Factors of 10155?

Answer: Factors of 10155 are 1, 3, 5, 15, 677, 2031, 3385, 10155. There are 8 integers that are factors of 10155. The greatest factor of 10155 is 10155.

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 10155 and 10162?

Answer:

Least Common Multiple of 10155 and 10162 = 103195110

Step 1: Find the prime factorization of 10155

10155 = 3 x 5 x 677

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 = 103195110 = 2 x 3 x 5 x 677 x 5081

Step 4: Therefore, the least common multiple of 10155 and 10162 is 103195110.