Least Common Multiple of 5469 and 5477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5469 and 5477 the smallest integer that is 29953713 that is divisible by both numbers.

Least Common Multiple (LCM) of 5469 and 5477 is 29953713.

LCM(5469,5477) = 29953713

LCM of 5469 and 5477

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

LCM of:
and

Least Common Multiple of 5469 and 5477

LCM of 5469 and 5477 is 29953713

Least common multiple can be found by multiplying the highest exponent prime factors of 5469 and 5477. First we will calculate the prime factors of 5469 and 5477.

Prime Factorization of 5469


3 5469
1823 1823
1

Prime factors of 5469 are 3,1823. Prime factorization of 5469 in exponential form is:

5469 = 31×18231

Prime Factorization of 5477


5477 5477
1

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

5477 = 54771

Now multiplying the highest exponent prime factors to calculate the LCM of 5469 and 5477.

LCM(5469,5477) = 31×18231×54771
LCM(5469,5477) = 29953713

Factors of 5469

List of positive integer factors of 5469 that divides 5469 without a remainder.

1, 3, 1823, 5469

Factors of 5477

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

1, 5477

Least Common Multiple of 5469 and 5477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5469 and 5477, than apply into the LCM equation.

GCF(5469,5477) = 1
LCM(5469,5477) = ( 5469 × 5477) / 1
LCM(5469,5477) = 29953713 / 1
LCM(5469,5477) = 29953713

Properties of LCM 5469 and 5477

(i) The LCM of 5477 and 5469 is associative

LCM of 5469 and 5477 = LCM of 5477 and 5469

Related Least Common Multiples of 5469

Related Least Common Multiples of 5477

Frequently Asked Questions on LCM of 5469 and 5477

1. What is the LCM of 5469 and 5477?

Answer: LCM of 5469 and 5477 is 29953713.

2. What are the Factors of 5469?

Answer: Factors of 5469 are 1, 3, 1823, 5469. There are 4 integers that are factors of 5469. The greatest factor of 5469 is 5469.

3. 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.

4. How to Find the LCM of 5469 and 5477?

Answer:

Least Common Multiple of 5469 and 5477 = 29953713

Step 1: Find the prime factorization of 5469

5469 = 3 x 1823

Step 2: Find the prime factorization of 5477

5477 = 5477

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

LCM = 29953713 = 3 x 1823 x 5477

Step 4: Therefore, the least common multiple of 5469 and 5477 is 29953713.