Least Common Multiple of 10061 and 10069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10061 and 10069 the smallest integer that is 101304209 that is divisible by both numbers.

Least Common Multiple (LCM) of 10061 and 10069 is 101304209.

LCM(10061,10069) = 101304209

LCM of 10061 and 10069

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

LCM of:
and

Least Common Multiple of 10061 and 10069

LCM of 10061 and 10069 is 101304209

Least common multiple can be found by multiplying the highest exponent prime factors of 10061 and 10069. First we will calculate the prime factors of 10061 and 10069.

Prime Factorization of 10061


10061 10061
1

Prime factors of 10061 are 10061. Prime factorization of 10061 in exponential form is:

10061 = 100611

Prime Factorization of 10069


10069 10069
1

Prime factors of 10069 are 10069. Prime factorization of 10069 in exponential form is:

10069 = 100691

Now multiplying the highest exponent prime factors to calculate the LCM of 10061 and 10069.

LCM(10061,10069) = 100611×100691
LCM(10061,10069) = 101304209

Factors of 10061

List of positive integer factors of 10061 that divides 10061 without a remainder.

1, 10061

Factors of 10069

List of positive integer factors of 10069 that divides 10069 without a remainder.

1, 10069

Least Common Multiple of 10061 and 10069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10061 and 10069, than apply into the LCM equation.

GCF(10061,10069) = 1
LCM(10061,10069) = ( 10061 × 10069) / 1
LCM(10061,10069) = 101304209 / 1
LCM(10061,10069) = 101304209

Properties of LCM 10061 and 10069

(i) The LCM of 10069 and 10061 is associative

LCM of 10061 and 10069 = LCM of 10069 and 10061

Related Least Common Multiples of 10061

Related Least Common Multiples of 10069

Frequently Asked Questions on LCM of 10061 and 10069

1. What is the LCM of 10061 and 10069?

Answer: LCM of 10061 and 10069 is 101304209.

2. What are the Factors of 10061?

Answer: Factors of 10061 are 1, 10061. There are 2 integers that are factors of 10061. The greatest factor of 10061 is 10061.

3. What are the Factors of 10069?

Answer: Factors of 10069 are 1, 10069. There are 2 integers that are factors of 10069. The greatest factor of 10069 is 10069.

4. How to Find the LCM of 10061 and 10069?

Answer:

Least Common Multiple of 10061 and 10069 = 101304209

Step 1: Find the prime factorization of 10061

10061 = 10061

Step 2: Find the prime factorization of 10069

10069 = 10069

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

LCM = 101304209 = 10061 x 10069

Step 4: Therefore, the least common multiple of 10061 and 10069 is 101304209.