Least Common Multiple of 5488 and 5492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5488 and 5492 the smallest integer that is 7535024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5488 and 5492 is 7535024.

LCM(5488,5492) = 7535024

LCM of 5488 and 5492

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

LCM of:
and

Least Common Multiple of 5488 and 5492

LCM of 5488 and 5492 is 7535024

Least common multiple can be found by multiplying the highest exponent prime factors of 5488 and 5492. First we will calculate the prime factors of 5488 and 5492.

Prime Factorization of 5488


2 5488
2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 5488 are 2,7. Prime factorization of 5488 in exponential form is:

5488 = 24×73

Prime Factorization of 5492


2 5492
2 2746
1373 1373
1

Prime factors of 5492 are 2,1373. Prime factorization of 5492 in exponential form is:

5492 = 22×13731

Now multiplying the highest exponent prime factors to calculate the LCM of 5488 and 5492.

LCM(5488,5492) = 24×73×13731
LCM(5488,5492) = 7535024

Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488

Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1, 2, 4, 1373, 2746, 5492

Least Common Multiple of 5488 and 5492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5488 and 5492, than apply into the LCM equation.

GCF(5488,5492) = 4
LCM(5488,5492) = ( 5488 × 5492) / 4
LCM(5488,5492) = 30140096 / 4
LCM(5488,5492) = 7535024

Properties of LCM 5488 and 5492

(i) The LCM of 5492 and 5488 is associative

LCM of 5488 and 5492 = LCM of 5492 and 5488

Related Least Common Multiples of 5488

Related Least Common Multiples of 5492

Frequently Asked Questions on LCM of 5488 and 5492

1. What is the LCM of 5488 and 5492?

Answer: LCM of 5488 and 5492 is 7535024.

2. What are the Factors of 5488?

Answer: Factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488. There are 20 integers that are factors of 5488. The greatest factor of 5488 is 5488.

3. What are the Factors of 5492?

Answer: Factors of 5492 are 1, 2, 4, 1373, 2746, 5492. There are 6 integers that are factors of 5492. The greatest factor of 5492 is 5492.

4. How to Find the LCM of 5488 and 5492?

Answer:

Least Common Multiple of 5488 and 5492 = 7535024

Step 1: Find the prime factorization of 5488

5488 = 2 x 2 x 2 x 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 5492

5492 = 2 x 2 x 1373

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

LCM = 7535024 = 2 x 2 x 2 x 2 x 7 x 7 x 7 x 1373

Step 4: Therefore, the least common multiple of 5488 and 5492 is 7535024.