Least Common Multiple of 5469 and 5470

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 5470 the smallest integer that is 29915430 that is divisible by both numbers.

Least Common Multiple (LCM) of 5469 and 5470 is 29915430.

LCM(5469,5470) = 29915430

LCM of 5469 and 5470

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

LCM of:
and

Least Common Multiple of 5469 and 5470

LCM of 5469 and 5470 is 29915430

Least common multiple can be found by multiplying the highest exponent prime factors of 5469 and 5470. First we will calculate the prime factors of 5469 and 5470.

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 5470


2 5470
5 2735
547 547
1

Prime factors of 5470 are 2, 5,547. Prime factorization of 5470 in exponential form is:

5470 = 21×51×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 5469 and 5470.

LCM(5469,5470) = 21×31×51×5471×18231
LCM(5469,5470) = 29915430

Factors of 5469

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

1, 3, 1823, 5469

Factors of 5470

List of positive integer factors of 5470 that divides 5470 without a remainder.

1, 2, 5, 10, 547, 1094, 2735, 5470

Least Common Multiple of 5469 and 5470 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 5470, than apply into the LCM equation.

GCF(5469,5470) = 1
LCM(5469,5470) = ( 5469 × 5470) / 1
LCM(5469,5470) = 29915430 / 1
LCM(5469,5470) = 29915430

Properties of LCM 5469 and 5470

(i) The LCM of 5470 and 5469 is associative

LCM of 5469 and 5470 = LCM of 5470 and 5469

Related Least Common Multiples of 5469

Related Least Common Multiples of 5470

Frequently Asked Questions on LCM of 5469 and 5470

1. What is the LCM of 5469 and 5470?

Answer: LCM of 5469 and 5470 is 29915430.

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 5470?

Answer: Factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470. There are 8 integers that are factors of 5470. The greatest factor of 5470 is 5470.

4. How to Find the LCM of 5469 and 5470?

Answer:

Least Common Multiple of 5469 and 5470 = 29915430

Step 1: Find the prime factorization of 5469

5469 = 3 x 1823

Step 2: Find the prime factorization of 5470

5470 = 2 x 5 x 547

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

LCM = 29915430 = 2 x 3 x 5 x 547 x 1823

Step 4: Therefore, the least common multiple of 5469 and 5470 is 29915430.