Least Common Multiple of 5068 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 5068 and 5076 the smallest integer that is 6431292 that is divisible by both numbers.

Least Common Multiple (LCM) of 5068 and 5076 is 6431292.

LCM(5068,5076) = 6431292

LCM of 5068 and 5076

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

LCM of:
and

Least Common Multiple of 5068 and 5076

LCM of 5068 and 5076 is 6431292

Least common multiple can be found by multiplying the highest exponent prime factors of 5068 and 5076. First we will calculate the prime factors of 5068 and 5076.

Prime Factorization of 5068


2 5068
2 2534
7 1267
181 181
1

Prime factors of 5068 are 2, 7,181. Prime factorization of 5068 in exponential form is:

5068 = 22×71×1811

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 5068 and 5076.

LCM(5068,5076) = 22×33×71×471×1811
LCM(5068,5076) = 6431292

Factors of 5068

List of positive integer factors of 5068 that divides 5068 without a remainder.

1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068

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 5068 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 5068 and 5076, than apply into the LCM equation.

GCF(5068,5076) = 4
LCM(5068,5076) = ( 5068 × 5076) / 4
LCM(5068,5076) = 25725168 / 4
LCM(5068,5076) = 6431292

Properties of LCM 5068 and 5076

(i) The LCM of 5076 and 5068 is associative

LCM of 5068 and 5076 = LCM of 5076 and 5068

Related Least Common Multiples of 5068

Related Least Common Multiples of 5076

Frequently Asked Questions on LCM of 5068 and 5076

1. What is the LCM of 5068 and 5076?

Answer: LCM of 5068 and 5076 is 6431292.

2. What are the Factors of 5068?

Answer: Factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068. There are 12 integers that are factors of 5068. The greatest factor of 5068 is 5068.

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 5068 and 5076?

Answer:

Least Common Multiple of 5068 and 5076 = 6431292

Step 1: Find the prime factorization of 5068

5068 = 2 x 2 x 7 x 181

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 = 6431292 = 2 x 2 x 3 x 3 x 3 x 7 x 47 x 181

Step 4: Therefore, the least common multiple of 5068 and 5076 is 6431292.