Least Common Multiple of 538 and 543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 538 and 543 the smallest integer that is 292134 that is divisible by both numbers.

Least Common Multiple (LCM) of 538 and 543 is 292134.

LCM(538,543) = 292134

LCM of 538 and 543

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

LCM of:
and

Least Common Multiple of 538 and 543

LCM of 538 and 543 is 292134

Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 543. First we will calculate the prime factors of 538 and 543.

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

Prime Factorization of 543


3 543
181 181
1

Prime factors of 543 are 3,181. Prime factorization of 543 in exponential form is:

543 = 31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 538 and 543.

LCM(538,543) = 21×31×1811×2691
LCM(538,543) = 292134

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Least Common Multiple of 538 and 543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 538 and 543, than apply into the LCM equation.

GCF(538,543) = 1
LCM(538,543) = ( 538 × 543) / 1
LCM(538,543) = 292134 / 1
LCM(538,543) = 292134

Properties of LCM 538 and 543

(i) The LCM of 543 and 538 is associative

LCM of 538 and 543 = LCM of 543 and 538

Related Least Common Multiples of 538

Related Least Common Multiples of 543

Frequently Asked Questions on LCM of 538 and 543

1. What is the LCM of 538 and 543?

Answer: LCM of 538 and 543 is 292134.

2. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

3. What are the Factors of 543?

Answer: Factors of 543 are 1, 3, 181, 543. There are 4 integers that are factors of 543. The greatest factor of 543 is 543.

4. How to Find the LCM of 538 and 543?

Answer:

Least Common Multiple of 538 and 543 = 292134

Step 1: Find the prime factorization of 538

538 = 2 x 269

Step 2: Find the prime factorization of 543

543 = 3 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 = 292134 = 2 x 3 x 181 x 269

Step 4: Therefore, the least common multiple of 538 and 543 is 292134.