Least Common Multiple of 5475 and 5479

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 5479 the smallest integer that is 29997525 that is divisible by both numbers.

Least Common Multiple (LCM) of 5475 and 5479 is 29997525.

LCM(5475,5479) = 29997525

LCM of 5475 and 5479

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

LCM of:
and

Least Common Multiple of 5475 and 5479

LCM of 5475 and 5479 is 29997525

Least common multiple can be found by multiplying the highest exponent prime factors of 5475 and 5479. First we will calculate the prime factors of 5475 and 5479.

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 5479


5479 5479
1

Prime factors of 5479 are 5479. Prime factorization of 5479 in exponential form is:

5479 = 54791

Now multiplying the highest exponent prime factors to calculate the LCM of 5475 and 5479.

LCM(5475,5479) = 31×52×731×54791
LCM(5475,5479) = 29997525

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 5479

List of positive integer factors of 5479 that divides 5479 without a remainder.

1, 5479

Least Common Multiple of 5475 and 5479 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 5479, than apply into the LCM equation.

GCF(5475,5479) = 1
LCM(5475,5479) = ( 5475 × 5479) / 1
LCM(5475,5479) = 29997525 / 1
LCM(5475,5479) = 29997525

Properties of LCM 5475 and 5479

(i) The LCM of 5479 and 5475 is associative

LCM of 5475 and 5479 = LCM of 5479 and 5475

Related Least Common Multiples of 5475

Related Least Common Multiples of 5479

Frequently Asked Questions on LCM of 5475 and 5479

1. What is the LCM of 5475 and 5479?

Answer: LCM of 5475 and 5479 is 29997525.

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 5479?

Answer: Factors of 5479 are 1, 5479. There are 2 integers that are factors of 5479. The greatest factor of 5479 is 5479.

4. How to Find the LCM of 5475 and 5479?

Answer:

Least Common Multiple of 5475 and 5479 = 29997525

Step 1: Find the prime factorization of 5475

5475 = 3 x 5 x 5 x 73

Step 2: Find the prime factorization of 5479

5479 = 5479

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

LCM = 29997525 = 3 x 5 x 5 x 73 x 5479

Step 4: Therefore, the least common multiple of 5475 and 5479 is 29997525.