Least Common Multiple of 10155 and 10161

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 10161 the smallest integer that is 34394985 that is divisible by both numbers.

Least Common Multiple (LCM) of 10155 and 10161 is 34394985.

LCM(10155,10161) = 34394985

LCM of 10155 and 10161

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

LCM of:
and

Least Common Multiple of 10155 and 10161

LCM of 10155 and 10161 is 34394985

Least common multiple can be found by multiplying the highest exponent prime factors of 10155 and 10161. First we will calculate the prime factors of 10155 and 10161.

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 10161


3 10161
3 3387
1129 1129
1

Prime factors of 10161 are 3,1129. Prime factorization of 10161 in exponential form is:

10161 = 32×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 10155 and 10161.

LCM(10155,10161) = 32×51×6771×11291
LCM(10155,10161) = 34394985

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 10161

List of positive integer factors of 10161 that divides 10161 without a remainder.

1, 3, 9, 1129, 3387, 10161

Least Common Multiple of 10155 and 10161 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 10161, than apply into the LCM equation.

GCF(10155,10161) = 3
LCM(10155,10161) = ( 10155 × 10161) / 3
LCM(10155,10161) = 103184955 / 3
LCM(10155,10161) = 34394985

Properties of LCM 10155 and 10161

(i) The LCM of 10161 and 10155 is associative

LCM of 10155 and 10161 = LCM of 10161 and 10155

Related Least Common Multiples of 10155

Related Least Common Multiples of 10161

Frequently Asked Questions on LCM of 10155 and 10161

1. What is the LCM of 10155 and 10161?

Answer: LCM of 10155 and 10161 is 34394985.

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 10161?

Answer: Factors of 10161 are 1, 3, 9, 1129, 3387, 10161. There are 6 integers that are factors of 10161. The greatest factor of 10161 is 10161.

4. How to Find the LCM of 10155 and 10161?

Answer:

Least Common Multiple of 10155 and 10161 = 34394985

Step 1: Find the prime factorization of 10155

10155 = 3 x 5 x 677

Step 2: Find the prime factorization of 10161

10161 = 3 x 3 x 1129

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

LCM = 34394985 = 3 x 3 x 5 x 677 x 1129

Step 4: Therefore, the least common multiple of 10155 and 10161 is 34394985.