Least Common Multiple of 5430 and 5437

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 5437 the smallest integer that is 29522910 that is divisible by both numbers.

Least Common Multiple (LCM) of 5430 and 5437 is 29522910.

LCM(5430,5437) = 29522910

LCM of 5430 and 5437

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

LCM of:
and

Least Common Multiple of 5430 and 5437

LCM of 5430 and 5437 is 29522910

Least common multiple can be found by multiplying the highest exponent prime factors of 5430 and 5437. First we will calculate the prime factors of 5430 and 5437.

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 5437


5437 5437
1

Prime factors of 5437 are 5437. Prime factorization of 5437 in exponential form is:

5437 = 54371

Now multiplying the highest exponent prime factors to calculate the LCM of 5430 and 5437.

LCM(5430,5437) = 21×31×51×1811×54371
LCM(5430,5437) = 29522910

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 5437

List of positive integer factors of 5437 that divides 5437 without a remainder.

1, 5437

Least Common Multiple of 5430 and 5437 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 5437, than apply into the LCM equation.

GCF(5430,5437) = 1
LCM(5430,5437) = ( 5430 × 5437) / 1
LCM(5430,5437) = 29522910 / 1
LCM(5430,5437) = 29522910

Properties of LCM 5430 and 5437

(i) The LCM of 5437 and 5430 is associative

LCM of 5430 and 5437 = LCM of 5437 and 5430

Frequently Asked Questions on LCM of 5430 and 5437

1. What is the LCM of 5430 and 5437?

Answer: LCM of 5430 and 5437 is 29522910.

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 5437?

Answer: Factors of 5437 are 1, 5437. There are 2 integers that are factors of 5437. The greatest factor of 5437 is 5437.

4. How to Find the LCM of 5430 and 5437?

Answer:

Least Common Multiple of 5430 and 5437 = 29522910

Step 1: Find the prime factorization of 5430

5430 = 2 x 3 x 5 x 181

Step 2: Find the prime factorization of 5437

5437 = 5437

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

LCM = 29522910 = 2 x 3 x 5 x 181 x 5437

Step 4: Therefore, the least common multiple of 5430 and 5437 is 29522910.