Least Common Multiple of 5088 and 5092

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 5092 the smallest integer that is 6477024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5088 and 5092 is 6477024.

LCM(5088,5092) = 6477024

LCM of 5088 and 5092

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

LCM of:
and

Least Common Multiple of 5088 and 5092

LCM of 5088 and 5092 is 6477024

Least common multiple can be found by multiplying the highest exponent prime factors of 5088 and 5092. First we will calculate the prime factors of 5088 and 5092.

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 5092


2 5092
2 2546
19 1273
67 67
1

Prime factors of 5092 are 2, 19,67. Prime factorization of 5092 in exponential form is:

5092 = 22×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5088 and 5092.

LCM(5088,5092) = 25×31×191×531×671
LCM(5088,5092) = 6477024

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 5092

List of positive integer factors of 5092 that divides 5092 without a remainder.

1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092

Least Common Multiple of 5088 and 5092 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 5092, than apply into the LCM equation.

GCF(5088,5092) = 4
LCM(5088,5092) = ( 5088 × 5092) / 4
LCM(5088,5092) = 25908096 / 4
LCM(5088,5092) = 6477024

Properties of LCM 5088 and 5092

(i) The LCM of 5092 and 5088 is associative

LCM of 5088 and 5092 = LCM of 5092 and 5088

Related Least Common Multiples of 5088

Related Least Common Multiples of 5092

Frequently Asked Questions on LCM of 5088 and 5092

1. What is the LCM of 5088 and 5092?

Answer: LCM of 5088 and 5092 is 6477024.

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 5092?

Answer: Factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092. There are 12 integers that are factors of 5092. The greatest factor of 5092 is 5092.

4. How to Find the LCM of 5088 and 5092?

Answer:

Least Common Multiple of 5088 and 5092 = 6477024

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 5092

5092 = 2 x 2 x 19 x 67

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

LCM = 6477024 = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 53 x 67

Step 4: Therefore, the least common multiple of 5088 and 5092 is 6477024.