Least Common Multiple of 5071 and 5079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5071 and 5079 the smallest integer that is 25755609 that is divisible by both numbers.

Least Common Multiple (LCM) of 5071 and 5079 is 25755609.

LCM(5071,5079) = 25755609

LCM of 5071 and 5079

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

LCM of:
and

Least Common Multiple of 5071 and 5079

LCM of 5071 and 5079 is 25755609

Least common multiple can be found by multiplying the highest exponent prime factors of 5071 and 5079. First we will calculate the prime factors of 5071 and 5079.

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

Prime Factorization of 5079


3 5079
1693 1693
1

Prime factors of 5079 are 3,1693. Prime factorization of 5079 in exponential form is:

5079 = 31×16931

Now multiplying the highest exponent prime factors to calculate the LCM of 5071 and 5079.

LCM(5071,5079) = 31×111×4611×16931
LCM(5071,5079) = 25755609

Factors of 5071

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

1, 11, 461, 5071

Factors of 5079

List of positive integer factors of 5079 that divides 5079 without a remainder.

1, 3, 1693, 5079

Least Common Multiple of 5071 and 5079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5071 and 5079, than apply into the LCM equation.

GCF(5071,5079) = 1
LCM(5071,5079) = ( 5071 × 5079) / 1
LCM(5071,5079) = 25755609 / 1
LCM(5071,5079) = 25755609

Properties of LCM 5071 and 5079

(i) The LCM of 5079 and 5071 is associative

LCM of 5071 and 5079 = LCM of 5079 and 5071

Related Least Common Multiples of 5071

Related Least Common Multiples of 5079

Frequently Asked Questions on LCM of 5071 and 5079

1. What is the LCM of 5071 and 5079?

Answer: LCM of 5071 and 5079 is 25755609.

2. 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.

3. What are the Factors of 5079?

Answer: Factors of 5079 are 1, 3, 1693, 5079. There are 4 integers that are factors of 5079. The greatest factor of 5079 is 5079.

4. How to Find the LCM of 5071 and 5079?

Answer:

Least Common Multiple of 5071 and 5079 = 25755609

Step 1: Find the prime factorization of 5071

5071 = 11 x 461

Step 2: Find the prime factorization of 5079

5079 = 3 x 1693

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

LCM = 25755609 = 3 x 11 x 461 x 1693

Step 4: Therefore, the least common multiple of 5071 and 5079 is 25755609.