Least Common Multiple of 10161 and 10169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10161 and 10169 the smallest integer that is 103327209 that is divisible by both numbers.

Least Common Multiple (LCM) of 10161 and 10169 is 103327209.

LCM(10161,10169) = 103327209

LCM of 10161 and 10169

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

LCM of:
and

Least Common Multiple of 10161 and 10169

LCM of 10161 and 10169 is 103327209

Least common multiple can be found by multiplying the highest exponent prime factors of 10161 and 10169. First we will calculate the prime factors of 10161 and 10169.

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

Prime Factorization of 10169


10169 10169
1

Prime factors of 10169 are 10169. Prime factorization of 10169 in exponential form is:

10169 = 101691

Now multiplying the highest exponent prime factors to calculate the LCM of 10161 and 10169.

LCM(10161,10169) = 32×11291×101691
LCM(10161,10169) = 103327209

Factors of 10161

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

1, 3, 9, 1129, 3387, 10161

Factors of 10169

List of positive integer factors of 10169 that divides 10169 without a remainder.

1, 10169

Least Common Multiple of 10161 and 10169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10161 and 10169, than apply into the LCM equation.

GCF(10161,10169) = 1
LCM(10161,10169) = ( 10161 × 10169) / 1
LCM(10161,10169) = 103327209 / 1
LCM(10161,10169) = 103327209

Properties of LCM 10161 and 10169

(i) The LCM of 10169 and 10161 is associative

LCM of 10161 and 10169 = LCM of 10169 and 10161

Related Least Common Multiples of 10161

Related Least Common Multiples of 10169

Frequently Asked Questions on LCM of 10161 and 10169

1. What is the LCM of 10161 and 10169?

Answer: LCM of 10161 and 10169 is 103327209.

2. 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.

3. What are the Factors of 10169?

Answer: Factors of 10169 are 1, 10169. There are 2 integers that are factors of 10169. The greatest factor of 10169 is 10169.

4. How to Find the LCM of 10161 and 10169?

Answer:

Least Common Multiple of 10161 and 10169 = 103327209

Step 1: Find the prime factorization of 10161

10161 = 3 x 3 x 1129

Step 2: Find the prime factorization of 10169

10169 = 10169

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

LCM = 103327209 = 3 x 3 x 1129 x 10169

Step 4: Therefore, the least common multiple of 10161 and 10169 is 103327209.