Least Common Multiple of 5480 and 5486

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 5486 the smallest integer that is 15031640 that is divisible by both numbers.

Least Common Multiple (LCM) of 5480 and 5486 is 15031640.

LCM(5480,5486) = 15031640

LCM of 5480 and 5486

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

LCM of:
and

Least Common Multiple of 5480 and 5486

LCM of 5480 and 5486 is 15031640

Least common multiple can be found by multiplying the highest exponent prime factors of 5480 and 5486. First we will calculate the prime factors of 5480 and 5486.

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 5486


2 5486
13 2743
211 211
1

Prime factors of 5486 are 2, 13,211. Prime factorization of 5486 in exponential form is:

5486 = 21×131×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5480 and 5486.

LCM(5480,5486) = 23×51×131×1371×2111
LCM(5480,5486) = 15031640

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 5486

List of positive integer factors of 5486 that divides 5486 without a remainder.

1, 2, 13, 26, 211, 422, 2743, 5486

Least Common Multiple of 5480 and 5486 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 5486, than apply into the LCM equation.

GCF(5480,5486) = 2
LCM(5480,5486) = ( 5480 × 5486) / 2
LCM(5480,5486) = 30063280 / 2
LCM(5480,5486) = 15031640

Properties of LCM 5480 and 5486

(i) The LCM of 5486 and 5480 is associative

LCM of 5480 and 5486 = LCM of 5486 and 5480

Related Least Common Multiples of 5480

Related Least Common Multiples of 5486

Frequently Asked Questions on LCM of 5480 and 5486

1. What is the LCM of 5480 and 5486?

Answer: LCM of 5480 and 5486 is 15031640.

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 5486?

Answer: Factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486. There are 8 integers that are factors of 5486. The greatest factor of 5486 is 5486.

4. How to Find the LCM of 5480 and 5486?

Answer:

Least Common Multiple of 5480 and 5486 = 15031640

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 5486

5486 = 2 x 13 x 211

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

LCM = 15031640 = 2 x 2 x 2 x 5 x 13 x 137 x 211

Step 4: Therefore, the least common multiple of 5480 and 5486 is 15031640.