Least Common Multiple of 10061 and 10068

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 10068 the smallest integer that is 101294148 that is divisible by both numbers.

Least Common Multiple (LCM) of 10061 and 10068 is 101294148.

LCM(10061,10068) = 101294148

LCM of 10061 and 10068

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

LCM of:
and

Least Common Multiple of 10061 and 10068

LCM of 10061 and 10068 is 101294148

Least common multiple can be found by multiplying the highest exponent prime factors of 10061 and 10068. First we will calculate the prime factors of 10061 and 10068.

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 10068


2 10068
2 5034
3 2517
839 839
1

Prime factors of 10068 are 2, 3,839. Prime factorization of 10068 in exponential form is:

10068 = 22×31×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 10061 and 10068.

LCM(10061,10068) = 22×31×8391×100611
LCM(10061,10068) = 101294148

Factors of 10061

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

1, 10061

Factors of 10068

List of positive integer factors of 10068 that divides 10068 without a remainder.

1, 2, 3, 4, 6, 12, 839, 1678, 2517, 3356, 5034, 10068

Least Common Multiple of 10061 and 10068 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 10068, than apply into the LCM equation.

GCF(10061,10068) = 1
LCM(10061,10068) = ( 10061 × 10068) / 1
LCM(10061,10068) = 101294148 / 1
LCM(10061,10068) = 101294148

Properties of LCM 10061 and 10068

(i) The LCM of 10068 and 10061 is associative

LCM of 10061 and 10068 = LCM of 10068 and 10061

Related Least Common Multiples of 10061

Related Least Common Multiples of 10068

Frequently Asked Questions on LCM of 10061 and 10068

1. What is the LCM of 10061 and 10068?

Answer: LCM of 10061 and 10068 is 101294148.

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 10068?

Answer: Factors of 10068 are 1, 2, 3, 4, 6, 12, 839, 1678, 2517, 3356, 5034, 10068. There are 12 integers that are factors of 10068. The greatest factor of 10068 is 10068.

4. How to Find the LCM of 10061 and 10068?

Answer:

Least Common Multiple of 10061 and 10068 = 101294148

Step 1: Find the prime factorization of 10061

10061 = 10061

Step 2: Find the prime factorization of 10068

10068 = 2 x 2 x 3 x 839

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

LCM = 101294148 = 2 x 2 x 3 x 839 x 10061

Step 4: Therefore, the least common multiple of 10061 and 10068 is 101294148.