Least Common Multiple of 5078 and 5084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5078 and 5084 the smallest integer that is 12908276 that is divisible by both numbers.

Least Common Multiple (LCM) of 5078 and 5084 is 12908276.

LCM(5078,5084) = 12908276

LCM of 5078 and 5084

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

LCM of:
and

Least Common Multiple of 5078 and 5084

LCM of 5078 and 5084 is 12908276

Least common multiple can be found by multiplying the highest exponent prime factors of 5078 and 5084. First we will calculate the prime factors of 5078 and 5084.

Prime Factorization of 5078


2 5078
2539 2539
1

Prime factors of 5078 are 2,2539. Prime factorization of 5078 in exponential form is:

5078 = 21×25391

Prime Factorization of 5084


2 5084
2 2542
31 1271
41 41
1

Prime factors of 5084 are 2, 31,41. Prime factorization of 5084 in exponential form is:

5084 = 22×311×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5078 and 5084.

LCM(5078,5084) = 22×311×411×25391
LCM(5078,5084) = 12908276

Factors of 5078

List of positive integer factors of 5078 that divides 5078 without a remainder.

1, 2, 2539, 5078

Factors of 5084

List of positive integer factors of 5084 that divides 5084 without a remainder.

1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084

Least Common Multiple of 5078 and 5084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5078 and 5084, than apply into the LCM equation.

GCF(5078,5084) = 2
LCM(5078,5084) = ( 5078 × 5084) / 2
LCM(5078,5084) = 25816552 / 2
LCM(5078,5084) = 12908276

Properties of LCM 5078 and 5084

(i) The LCM of 5084 and 5078 is associative

LCM of 5078 and 5084 = LCM of 5084 and 5078

Related Least Common Multiples of 5078

Related Least Common Multiples of 5084

Frequently Asked Questions on LCM of 5078 and 5084

1. What is the LCM of 5078 and 5084?

Answer: LCM of 5078 and 5084 is 12908276.

2. What are the Factors of 5078?

Answer: Factors of 5078 are 1, 2, 2539, 5078. There are 4 integers that are factors of 5078. The greatest factor of 5078 is 5078.

3. What are the Factors of 5084?

Answer: Factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084. There are 12 integers that are factors of 5084. The greatest factor of 5084 is 5084.

4. How to Find the LCM of 5078 and 5084?

Answer:

Least Common Multiple of 5078 and 5084 = 12908276

Step 1: Find the prime factorization of 5078

5078 = 2 x 2539

Step 2: Find the prime factorization of 5084

5084 = 2 x 2 x 31 x 41

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

LCM = 12908276 = 2 x 2 x 31 x 41 x 2539

Step 4: Therefore, the least common multiple of 5078 and 5084 is 12908276.