Least Common Multiple of 5430 and 5434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5430 and 5434 the smallest integer that is 14753310 that is divisible by both numbers.

Least Common Multiple (LCM) of 5430 and 5434 is 14753310.

LCM(5430,5434) = 14753310

LCM of 5430 and 5434

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

LCM of:
and

Least Common Multiple of 5430 and 5434

LCM of 5430 and 5434 is 14753310

Least common multiple can be found by multiplying the highest exponent prime factors of 5430 and 5434. First we will calculate the prime factors of 5430 and 5434.

Prime Factorization of 5430


2 5430
3 2715
5 905
181 181
1

Prime factors of 5430 are 2, 3, 5,181. Prime factorization of 5430 in exponential form is:

5430 = 21×31×51×1811

Prime Factorization of 5434


2 5434
11 2717
13 247
19 19
1

Prime factors of 5434 are 2, 11, 13,19. Prime factorization of 5434 in exponential form is:

5434 = 21×111×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5430 and 5434.

LCM(5430,5434) = 21×31×51×111×131×191×1811
LCM(5430,5434) = 14753310

Factors of 5430

List of positive integer factors of 5430 that divides 5430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434

Least Common Multiple of 5430 and 5434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5430 and 5434, than apply into the LCM equation.

GCF(5430,5434) = 2
LCM(5430,5434) = ( 5430 × 5434) / 2
LCM(5430,5434) = 29506620 / 2
LCM(5430,5434) = 14753310

Properties of LCM 5430 and 5434

(i) The LCM of 5434 and 5430 is associative

LCM of 5430 and 5434 = LCM of 5434 and 5430

Related Least Common Multiples of 5430

Related Least Common Multiples of 5434

Frequently Asked Questions on LCM of 5430 and 5434

1. What is the LCM of 5430 and 5434?

Answer: LCM of 5430 and 5434 is 14753310.

2. What are the Factors of 5430?

Answer: Factors of 5430 are 1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430. There are 16 integers that are factors of 5430. The greatest factor of 5430 is 5430.

3. What are the Factors of 5434?

Answer: Factors of 5434 are 1, 2, 11, 13, 19, 22, 26, 38, 143, 209, 247, 286, 418, 494, 2717, 5434. There are 16 integers that are factors of 5434. The greatest factor of 5434 is 5434.

4. How to Find the LCM of 5430 and 5434?

Answer:

Least Common Multiple of 5430 and 5434 = 14753310

Step 1: Find the prime factorization of 5430

5430 = 2 x 3 x 5 x 181

Step 2: Find the prime factorization of 5434

5434 = 2 x 11 x 13 x 19

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

LCM = 14753310 = 2 x 3 x 5 x 11 x 13 x 19 x 181

Step 4: Therefore, the least common multiple of 5430 and 5434 is 14753310.