Least Common Multiple of 5480 and 5488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5480 and 5488 the smallest integer that is 3759280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5480 and 5488 is 3759280.

LCM(5480,5488) = 3759280

LCM of 5480 and 5488

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

LCM of:
and

Least Common Multiple of 5480 and 5488

LCM of 5480 and 5488 is 3759280

Least common multiple can be found by multiplying the highest exponent prime factors of 5480 and 5488. First we will calculate the prime factors of 5480 and 5488.

Prime Factorization of 5480


2 5480
2 2740
2 1370
5 685
137 137
1

Prime factors of 5480 are 2, 5,137. Prime factorization of 5480 in exponential form is:

5480 = 23×51×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5480 and 5488.

LCM(5480,5488) = 24×51×73×1371
LCM(5480,5488) = 3759280

Factors of 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480

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

Least Common Multiple of 5480 and 5488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5480 and 5488, than apply into the LCM equation.

GCF(5480,5488) = 8
LCM(5480,5488) = ( 5480 × 5488) / 8
LCM(5480,5488) = 30074240 / 8
LCM(5480,5488) = 3759280

Properties of LCM 5480 and 5488

(i) The LCM of 5488 and 5480 is associative

LCM of 5480 and 5488 = LCM of 5488 and 5480

Related Least Common Multiples of 5480

Related Least Common Multiples of 5488

Frequently Asked Questions on LCM of 5480 and 5488

1. What is the LCM of 5480 and 5488?

Answer: LCM of 5480 and 5488 is 3759280.

2. What are the Factors of 5480?

Answer: Factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480. There are 16 integers that are factors of 5480. The greatest factor of 5480 is 5480.

3. 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.

4. How to Find the LCM of 5480 and 5488?

Answer:

Least Common Multiple of 5480 and 5488 = 3759280

Step 1: Find the prime factorization of 5480

5480 = 2 x 2 x 2 x 5 x 137

Step 2: Find the prime factorization of 5488

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

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

LCM = 3759280 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 7 x 137

Step 4: Therefore, the least common multiple of 5480 and 5488 is 3759280.