Least Common Multiple of 5067 and 5071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5067 and 5071 the smallest integer that is 25694757 that is divisible by both numbers.

Least Common Multiple (LCM) of 5067 and 5071 is 25694757.

LCM(5067,5071) = 25694757

LCM of 5067 and 5071

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

LCM of:
and

Least Common Multiple of 5067 and 5071

LCM of 5067 and 5071 is 25694757

Least common multiple can be found by multiplying the highest exponent prime factors of 5067 and 5071. First we will calculate the prime factors of 5067 and 5071.

Prime Factorization of 5067


3 5067
3 1689
563 563
1

Prime factors of 5067 are 3,563. Prime factorization of 5067 in exponential form is:

5067 = 32×5631

Prime Factorization of 5071


11 5071
461 461
1

Prime factors of 5071 are 11,461. Prime factorization of 5071 in exponential form is:

5071 = 111×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 5067 and 5071.

LCM(5067,5071) = 32×111×4611×5631
LCM(5067,5071) = 25694757

Factors of 5067

List of positive integer factors of 5067 that divides 5067 without a remainder.

1, 3, 9, 563, 1689, 5067

Factors of 5071

List of positive integer factors of 5071 that divides 5071 without a remainder.

1, 11, 461, 5071

Least Common Multiple of 5067 and 5071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5067 and 5071, than apply into the LCM equation.

GCF(5067,5071) = 1
LCM(5067,5071) = ( 5067 × 5071) / 1
LCM(5067,5071) = 25694757 / 1
LCM(5067,5071) = 25694757

Properties of LCM 5067 and 5071

(i) The LCM of 5071 and 5067 is associative

LCM of 5067 and 5071 = LCM of 5071 and 5067

Related Least Common Multiples of 5067

Related Least Common Multiples of 5071

Frequently Asked Questions on LCM of 5067 and 5071

1. What is the LCM of 5067 and 5071?

Answer: LCM of 5067 and 5071 is 25694757.

2. What are the Factors of 5067?

Answer: Factors of 5067 are 1, 3, 9, 563, 1689, 5067. There are 6 integers that are factors of 5067. The greatest factor of 5067 is 5067.

3. What are the Factors of 5071?

Answer: Factors of 5071 are 1, 11, 461, 5071. There are 4 integers that are factors of 5071. The greatest factor of 5071 is 5071.

4. How to Find the LCM of 5067 and 5071?

Answer:

Least Common Multiple of 5067 and 5071 = 25694757

Step 1: Find the prime factorization of 5067

5067 = 3 x 3 x 563

Step 2: Find the prime factorization of 5071

5071 = 11 x 461

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

LCM = 25694757 = 3 x 3 x 11 x 461 x 563

Step 4: Therefore, the least common multiple of 5067 and 5071 is 25694757.