Least Common Multiple of 5480 and 5485

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 5485 the smallest integer that is 6011560 that is divisible by both numbers.

Least Common Multiple (LCM) of 5480 and 5485 is 6011560.

LCM(5480,5485) = 6011560

LCM of 5480 and 5485

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

LCM of:
and

Least Common Multiple of 5480 and 5485

LCM of 5480 and 5485 is 6011560

Least common multiple can be found by multiplying the highest exponent prime factors of 5480 and 5485. First we will calculate the prime factors of 5480 and 5485.

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 5485


5 5485
1097 1097
1

Prime factors of 5485 are 5,1097. Prime factorization of 5485 in exponential form is:

5485 = 51×10971

Now multiplying the highest exponent prime factors to calculate the LCM of 5480 and 5485.

LCM(5480,5485) = 23×51×1371×10971
LCM(5480,5485) = 6011560

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 5485

List of positive integer factors of 5485 that divides 5485 without a remainder.

1, 5, 1097, 5485

Least Common Multiple of 5480 and 5485 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 5485, than apply into the LCM equation.

GCF(5480,5485) = 5
LCM(5480,5485) = ( 5480 × 5485) / 5
LCM(5480,5485) = 30057800 / 5
LCM(5480,5485) = 6011560

Properties of LCM 5480 and 5485

(i) The LCM of 5485 and 5480 is associative

LCM of 5480 and 5485 = LCM of 5485 and 5480

Related Least Common Multiples of 5480

Related Least Common Multiples of 5485

Frequently Asked Questions on LCM of 5480 and 5485

1. What is the LCM of 5480 and 5485?

Answer: LCM of 5480 and 5485 is 6011560.

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 5485?

Answer: Factors of 5485 are 1, 5, 1097, 5485. There are 4 integers that are factors of 5485. The greatest factor of 5485 is 5485.

4. How to Find the LCM of 5480 and 5485?

Answer:

Least Common Multiple of 5480 and 5485 = 6011560

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 5485

5485 = 5 x 1097

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

LCM = 6011560 = 2 x 2 x 2 x 5 x 137 x 1097

Step 4: Therefore, the least common multiple of 5480 and 5485 is 6011560.