Least Common Multiple of 10061 and 10067

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 10067 the smallest integer that is 101284087 that is divisible by both numbers.

Least Common Multiple (LCM) of 10061 and 10067 is 101284087.

LCM(10061,10067) = 101284087

LCM of 10061 and 10067

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

LCM of:
and

Least Common Multiple of 10061 and 10067

LCM of 10061 and 10067 is 101284087

Least common multiple can be found by multiplying the highest exponent prime factors of 10061 and 10067. First we will calculate the prime factors of 10061 and 10067.

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 10067


10067 10067
1

Prime factors of 10067 are 10067. Prime factorization of 10067 in exponential form is:

10067 = 100671

Now multiplying the highest exponent prime factors to calculate the LCM of 10061 and 10067.

LCM(10061,10067) = 100611×100671
LCM(10061,10067) = 101284087

Factors of 10061

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

1, 10061

Factors of 10067

List of positive integer factors of 10067 that divides 10067 without a remainder.

1, 10067

Least Common Multiple of 10061 and 10067 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 10067, than apply into the LCM equation.

GCF(10061,10067) = 1
LCM(10061,10067) = ( 10061 × 10067) / 1
LCM(10061,10067) = 101284087 / 1
LCM(10061,10067) = 101284087

Properties of LCM 10061 and 10067

(i) The LCM of 10067 and 10061 is associative

LCM of 10061 and 10067 = LCM of 10067 and 10061

Related Least Common Multiples of 10061

Related Least Common Multiples of 10067

Frequently Asked Questions on LCM of 10061 and 10067

1. What is the LCM of 10061 and 10067?

Answer: LCM of 10061 and 10067 is 101284087.

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 10067?

Answer: Factors of 10067 are 1, 10067. There are 2 integers that are factors of 10067. The greatest factor of 10067 is 10067.

4. How to Find the LCM of 10061 and 10067?

Answer:

Least Common Multiple of 10061 and 10067 = 101284087

Step 1: Find the prime factorization of 10061

10061 = 10061

Step 2: Find the prime factorization of 10067

10067 = 10067

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

LCM = 101284087 = 10061 x 10067

Step 4: Therefore, the least common multiple of 10061 and 10067 is 101284087.