Least Common Multiple of 5071 and 5076

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 5076 the smallest integer that is 25740396 that is divisible by both numbers.

Least Common Multiple (LCM) of 5071 and 5076 is 25740396.

LCM(5071,5076) = 25740396

LCM of 5071 and 5076

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

LCM of:
and

Least Common Multiple of 5071 and 5076

LCM of 5071 and 5076 is 25740396

Least common multiple can be found by multiplying the highest exponent prime factors of 5071 and 5076. First we will calculate the prime factors of 5071 and 5076.

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 5076


2 5076
2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 5076 are 2, 3,47. Prime factorization of 5076 in exponential form is:

5076 = 22×33×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5071 and 5076.

LCM(5071,5076) = 22×33×111×471×4611
LCM(5071,5076) = 25740396

Factors of 5071

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

1, 11, 461, 5071

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076

Least Common Multiple of 5071 and 5076 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 5076, than apply into the LCM equation.

GCF(5071,5076) = 1
LCM(5071,5076) = ( 5071 × 5076) / 1
LCM(5071,5076) = 25740396 / 1
LCM(5071,5076) = 25740396

Properties of LCM 5071 and 5076

(i) The LCM of 5076 and 5071 is associative

LCM of 5071 and 5076 = LCM of 5076 and 5071

Related Least Common Multiples of 5071

Related Least Common Multiples of 5076

Frequently Asked Questions on LCM of 5071 and 5076

1. What is the LCM of 5071 and 5076?

Answer: LCM of 5071 and 5076 is 25740396.

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 5076?

Answer: Factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076. There are 24 integers that are factors of 5076. The greatest factor of 5076 is 5076.

4. How to Find the LCM of 5071 and 5076?

Answer:

Least Common Multiple of 5071 and 5076 = 25740396

Step 1: Find the prime factorization of 5071

5071 = 11 x 461

Step 2: Find the prime factorization of 5076

5076 = 2 x 2 x 3 x 3 x 3 x 47

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

LCM = 25740396 = 2 x 2 x 3 x 3 x 3 x 11 x 47 x 461

Step 4: Therefore, the least common multiple of 5071 and 5076 is 25740396.