Least Common Multiple of 5426 and 5430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5426 and 5430 the smallest integer that is 14731590 that is divisible by both numbers.

Least Common Multiple (LCM) of 5426 and 5430 is 14731590.

LCM(5426,5430) = 14731590

LCM of 5426 and 5430

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

LCM of:
and

Least Common Multiple of 5426 and 5430

LCM of 5426 and 5430 is 14731590

Least common multiple can be found by multiplying the highest exponent prime factors of 5426 and 5430. First we will calculate the prime factors of 5426 and 5430.

Prime Factorization of 5426


2 5426
2713 2713
1

Prime factors of 5426 are 2,2713. Prime factorization of 5426 in exponential form is:

5426 = 21×27131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5426 and 5430.

LCM(5426,5430) = 21×31×51×1811×27131
LCM(5426,5430) = 14731590

Factors of 5426

List of positive integer factors of 5426 that divides 5426 without a remainder.

1, 2, 2713, 5426

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

Least Common Multiple of 5426 and 5430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5426 and 5430, than apply into the LCM equation.

GCF(5426,5430) = 2
LCM(5426,5430) = ( 5426 × 5430) / 2
LCM(5426,5430) = 29463180 / 2
LCM(5426,5430) = 14731590

Properties of LCM 5426 and 5430

(i) The LCM of 5430 and 5426 is associative

LCM of 5426 and 5430 = LCM of 5430 and 5426

Related Least Common Multiples of 5426

Related Least Common Multiples of 5430

Frequently Asked Questions on LCM of 5426 and 5430

1. What is the LCM of 5426 and 5430?

Answer: LCM of 5426 and 5430 is 14731590.

2. What are the Factors of 5426?

Answer: Factors of 5426 are 1, 2, 2713, 5426. There are 4 integers that are factors of 5426. The greatest factor of 5426 is 5426.

3. 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.

4. How to Find the LCM of 5426 and 5430?

Answer:

Least Common Multiple of 5426 and 5430 = 14731590

Step 1: Find the prime factorization of 5426

5426 = 2 x 2713

Step 2: Find the prime factorization of 5430

5430 = 2 x 3 x 5 x 181

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

LCM = 14731590 = 2 x 3 x 5 x 181 x 2713

Step 4: Therefore, the least common multiple of 5426 and 5430 is 14731590.