Least Common Multiple of 5430 and 5436

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 5436 the smallest integer that is 4919580 that is divisible by both numbers.

Least Common Multiple (LCM) of 5430 and 5436 is 4919580.

LCM(5430,5436) = 4919580

LCM of 5430 and 5436

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

LCM of:
and

Least Common Multiple of 5430 and 5436

LCM of 5430 and 5436 is 4919580

Least common multiple can be found by multiplying the highest exponent prime factors of 5430 and 5436. First we will calculate the prime factors of 5430 and 5436.

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 5436


2 5436
2 2718
3 1359
3 453
151 151
1

Prime factors of 5436 are 2, 3,151. Prime factorization of 5436 in exponential form is:

5436 = 22×32×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5430 and 5436.

LCM(5430,5436) = 22×32×51×1511×1811
LCM(5430,5436) = 4919580

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 5436

List of positive integer factors of 5436 that divides 5436 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436

Least Common Multiple of 5430 and 5436 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 5436, than apply into the LCM equation.

GCF(5430,5436) = 6
LCM(5430,5436) = ( 5430 × 5436) / 6
LCM(5430,5436) = 29517480 / 6
LCM(5430,5436) = 4919580

Properties of LCM 5430 and 5436

(i) The LCM of 5436 and 5430 is associative

LCM of 5430 and 5436 = LCM of 5436 and 5430

Related Least Common Multiples of 5430

Related Least Common Multiples of 5436

Frequently Asked Questions on LCM of 5430 and 5436

1. What is the LCM of 5430 and 5436?

Answer: LCM of 5430 and 5436 is 4919580.

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 5436?

Answer: Factors of 5436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436. There are 18 integers that are factors of 5436. The greatest factor of 5436 is 5436.

4. How to Find the LCM of 5430 and 5436?

Answer:

Least Common Multiple of 5430 and 5436 = 4919580

Step 1: Find the prime factorization of 5430

5430 = 2 x 3 x 5 x 181

Step 2: Find the prime factorization of 5436

5436 = 2 x 2 x 3 x 3 x 151

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

LCM = 4919580 = 2 x 2 x 3 x 3 x 5 x 151 x 181

Step 4: Therefore, the least common multiple of 5430 and 5436 is 4919580.