Least Common Multiple of 5477 and 5482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5477 and 5482 the smallest integer that is 30024914 that is divisible by both numbers.

Least Common Multiple (LCM) of 5477 and 5482 is 30024914.

LCM(5477,5482) = 30024914

LCM of 5477 and 5482

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

LCM of:
and

Least Common Multiple of 5477 and 5482

LCM of 5477 and 5482 is 30024914

Least common multiple can be found by multiplying the highest exponent prime factors of 5477 and 5482. First we will calculate the prime factors of 5477 and 5482.

Prime Factorization of 5477


5477 5477
1

Prime factors of 5477 are 5477. Prime factorization of 5477 in exponential form is:

5477 = 54771

Prime Factorization of 5482


2 5482
2741 2741
1

Prime factors of 5482 are 2,2741. Prime factorization of 5482 in exponential form is:

5482 = 21×27411

Now multiplying the highest exponent prime factors to calculate the LCM of 5477 and 5482.

LCM(5477,5482) = 21×27411×54771
LCM(5477,5482) = 30024914

Factors of 5477

List of positive integer factors of 5477 that divides 5477 without a remainder.

1, 5477

Factors of 5482

List of positive integer factors of 5482 that divides 5482 without a remainder.

1, 2, 2741, 5482

Least Common Multiple of 5477 and 5482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5477 and 5482, than apply into the LCM equation.

GCF(5477,5482) = 1
LCM(5477,5482) = ( 5477 × 5482) / 1
LCM(5477,5482) = 30024914 / 1
LCM(5477,5482) = 30024914

Properties of LCM 5477 and 5482

(i) The LCM of 5482 and 5477 is associative

LCM of 5477 and 5482 = LCM of 5482 and 5477

Related Least Common Multiples of 5477

Related Least Common Multiples of 5482

Frequently Asked Questions on LCM of 5477 and 5482

1. What is the LCM of 5477 and 5482?

Answer: LCM of 5477 and 5482 is 30024914.

2. What are the Factors of 5477?

Answer: Factors of 5477 are 1, 5477. There are 2 integers that are factors of 5477. The greatest factor of 5477 is 5477.

3. What are the Factors of 5482?

Answer: Factors of 5482 are 1, 2, 2741, 5482. There are 4 integers that are factors of 5482. The greatest factor of 5482 is 5482.

4. How to Find the LCM of 5477 and 5482?

Answer:

Least Common Multiple of 5477 and 5482 = 30024914

Step 1: Find the prime factorization of 5477

5477 = 5477

Step 2: Find the prime factorization of 5482

5482 = 2 x 2741

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

LCM = 30024914 = 2 x 2741 x 5477

Step 4: Therefore, the least common multiple of 5477 and 5482 is 30024914.