Least Common Multiple of 10067 and 10071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10067 and 10071 the smallest integer that is 101384757 that is divisible by both numbers.

Least Common Multiple (LCM) of 10067 and 10071 is 101384757.

LCM(10067,10071) = 101384757

LCM of 10067 and 10071

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

LCM of:
and

Least Common Multiple of 10067 and 10071

LCM of 10067 and 10071 is 101384757

Least common multiple can be found by multiplying the highest exponent prime factors of 10067 and 10071. First we will calculate the prime factors of 10067 and 10071.

Prime Factorization of 10067


10067 10067
1

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

10067 = 100671

Prime Factorization of 10071


3 10071
3 3357
3 1119
373 373
1

Prime factors of 10071 are 3,373. Prime factorization of 10071 in exponential form is:

10071 = 33×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 10067 and 10071.

LCM(10067,10071) = 33×3731×100671
LCM(10067,10071) = 101384757

Factors of 10067

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

1, 10067

Factors of 10071

List of positive integer factors of 10071 that divides 10071 without a remainder.

1, 3, 9, 27, 373, 1119, 3357, 10071

Least Common Multiple of 10067 and 10071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10067 and 10071, than apply into the LCM equation.

GCF(10067,10071) = 1
LCM(10067,10071) = ( 10067 × 10071) / 1
LCM(10067,10071) = 101384757 / 1
LCM(10067,10071) = 101384757

Properties of LCM 10067 and 10071

(i) The LCM of 10071 and 10067 is associative

LCM of 10067 and 10071 = LCM of 10071 and 10067

Related Least Common Multiples of 10067

Related Least Common Multiples of 10071

Frequently Asked Questions on LCM of 10067 and 10071

1. What is the LCM of 10067 and 10071?

Answer: LCM of 10067 and 10071 is 101384757.

2. 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.

3. What are the Factors of 10071?

Answer: Factors of 10071 are 1, 3, 9, 27, 373, 1119, 3357, 10071. There are 8 integers that are factors of 10071. The greatest factor of 10071 is 10071.

4. How to Find the LCM of 10067 and 10071?

Answer:

Least Common Multiple of 10067 and 10071 = 101384757

Step 1: Find the prime factorization of 10067

10067 = 10067

Step 2: Find the prime factorization of 10071

10071 = 3 x 3 x 3 x 373

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

LCM = 101384757 = 3 x 3 x 3 x 373 x 10067

Step 4: Therefore, the least common multiple of 10067 and 10071 is 101384757.