Least Common Multiple of 5084 and 5088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5084 and 5088 the smallest integer that is 6466848 that is divisible by both numbers.

Least Common Multiple (LCM) of 5084 and 5088 is 6466848.

LCM(5084,5088) = 6466848

LCM of 5084 and 5088

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

LCM of:
and

Least Common Multiple of 5084 and 5088

LCM of 5084 and 5088 is 6466848

Least common multiple can be found by multiplying the highest exponent prime factors of 5084 and 5088. First we will calculate the prime factors of 5084 and 5088.

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

Prime Factorization of 5088


2 5088
2 2544
2 1272
2 636
2 318
3 159
53 53
1

Prime factors of 5088 are 2, 3,53. Prime factorization of 5088 in exponential form is:

5088 = 25×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5084 and 5088.

LCM(5084,5088) = 25×31×311×411×531
LCM(5084,5088) = 6466848

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

Factors of 5088

List of positive integer factors of 5088 that divides 5088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088

Least Common Multiple of 5084 and 5088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5084 and 5088, than apply into the LCM equation.

GCF(5084,5088) = 4
LCM(5084,5088) = ( 5084 × 5088) / 4
LCM(5084,5088) = 25867392 / 4
LCM(5084,5088) = 6466848

Properties of LCM 5084 and 5088

(i) The LCM of 5088 and 5084 is associative

LCM of 5084 and 5088 = LCM of 5088 and 5084

Related Least Common Multiples of 5084

Related Least Common Multiples of 5088

Frequently Asked Questions on LCM of 5084 and 5088

1. What is the LCM of 5084 and 5088?

Answer: LCM of 5084 and 5088 is 6466848.

2. 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.

3. What are the Factors of 5088?

Answer: Factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088. There are 24 integers that are factors of 5088. The greatest factor of 5088 is 5088.

4. How to Find the LCM of 5084 and 5088?

Answer:

Least Common Multiple of 5084 and 5088 = 6466848

Step 1: Find the prime factorization of 5084

5084 = 2 x 2 x 31 x 41

Step 2: Find the prime factorization of 5088

5088 = 2 x 2 x 2 x 2 x 2 x 3 x 53

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

LCM = 6466848 = 2 x 2 x 2 x 2 x 2 x 3 x 31 x 41 x 53

Step 4: Therefore, the least common multiple of 5084 and 5088 is 6466848.