Least Common Multiple of 5475 and 5480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5475 and 5480 the smallest integer that is 6000600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5475 and 5480 is 6000600.

LCM(5475,5480) = 6000600

LCM of 5475 and 5480

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

LCM of:
and

Least Common Multiple of 5475 and 5480

LCM of 5475 and 5480 is 6000600

Least common multiple can be found by multiplying the highest exponent prime factors of 5475 and 5480. First we will calculate the prime factors of 5475 and 5480.

Prime Factorization of 5475


3 5475
5 1825
5 365
73 73
1

Prime factors of 5475 are 3, 5,73. Prime factorization of 5475 in exponential form is:

5475 = 31×52×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5475 and 5480.

LCM(5475,5480) = 23×31×52×731×1371
LCM(5475,5480) = 6000600

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475

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

Least Common Multiple of 5475 and 5480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5475 and 5480, than apply into the LCM equation.

GCF(5475,5480) = 5
LCM(5475,5480) = ( 5475 × 5480) / 5
LCM(5475,5480) = 30003000 / 5
LCM(5475,5480) = 6000600

Properties of LCM 5475 and 5480

(i) The LCM of 5480 and 5475 is associative

LCM of 5475 and 5480 = LCM of 5480 and 5475

Related Least Common Multiples of 5475

Related Least Common Multiples of 5480

Frequently Asked Questions on LCM of 5475 and 5480

1. What is the LCM of 5475 and 5480?

Answer: LCM of 5475 and 5480 is 6000600.

2. What are the Factors of 5475?

Answer: Factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475. There are 12 integers that are factors of 5475. The greatest factor of 5475 is 5475.

3. 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.

4. How to Find the LCM of 5475 and 5480?

Answer:

Least Common Multiple of 5475 and 5480 = 6000600

Step 1: Find the prime factorization of 5475

5475 = 3 x 5 x 5 x 73

Step 2: Find the prime factorization of 5480

5480 = 2 x 2 x 2 x 5 x 137

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

LCM = 6000600 = 2 x 2 x 2 x 3 x 5 x 5 x 73 x 137

Step 4: Therefore, the least common multiple of 5475 and 5480 is 6000600.