Least Common Multiple of 5088 and 5094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5088 and 5094 the smallest integer that is 4319712 that is divisible by both numbers.

Least Common Multiple (LCM) of 5088 and 5094 is 4319712.

LCM(5088,5094) = 4319712

LCM of 5088 and 5094

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

LCM of:
and

Least Common Multiple of 5088 and 5094

LCM of 5088 and 5094 is 4319712

Least common multiple can be found by multiplying the highest exponent prime factors of 5088 and 5094. First we will calculate the prime factors of 5088 and 5094.

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

Prime Factorization of 5094


2 5094
3 2547
3 849
283 283
1

Prime factors of 5094 are 2, 3,283. Prime factorization of 5094 in exponential form is:

5094 = 21×32×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 5088 and 5094.

LCM(5088,5094) = 25×32×531×2831
LCM(5088,5094) = 4319712

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

Factors of 5094

List of positive integer factors of 5094 that divides 5094 without a remainder.

1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094

Least Common Multiple of 5088 and 5094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5088 and 5094, than apply into the LCM equation.

GCF(5088,5094) = 6
LCM(5088,5094) = ( 5088 × 5094) / 6
LCM(5088,5094) = 25918272 / 6
LCM(5088,5094) = 4319712

Properties of LCM 5088 and 5094

(i) The LCM of 5094 and 5088 is associative

LCM of 5088 and 5094 = LCM of 5094 and 5088

Related Least Common Multiples of 5088

Related Least Common Multiples of 5094

Frequently Asked Questions on LCM of 5088 and 5094

1. What is the LCM of 5088 and 5094?

Answer: LCM of 5088 and 5094 is 4319712.

2. 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.

3. What are the Factors of 5094?

Answer: Factors of 5094 are 1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094. There are 12 integers that are factors of 5094. The greatest factor of 5094 is 5094.

4. How to Find the LCM of 5088 and 5094?

Answer:

Least Common Multiple of 5088 and 5094 = 4319712

Step 1: Find the prime factorization of 5088

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

Step 2: Find the prime factorization of 5094

5094 = 2 x 3 x 3 x 283

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

LCM = 4319712 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 53 x 283

Step 4: Therefore, the least common multiple of 5088 and 5094 is 4319712.