Least Common Multiple of 542 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 542 and 543 the smallest integer that is 294306 that is divisible by both numbers.

Least Common Multiple (LCM) of 542 and 543 is 294306.

LCM(542,543) = 294306

LCM of 542 and 543

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

LCM of:
and

Least Common Multiple of 542 and 543

LCM of 542 and 543 is 294306

Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 543. First we will calculate the prime factors of 542 and 543.

Prime Factorization of 542


2 542
271 271
1

Prime factors of 542 are 2,271. Prime factorization of 542 in exponential form is:

542 = 21×2711

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 542 and 543.

LCM(542,543) = 21×31×1811×2711
LCM(542,543) = 294306

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Factors of 543

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

1, 3, 181, 543

Least Common Multiple of 542 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 542 and 543, than apply into the LCM equation.

GCF(542,543) = 1
LCM(542,543) = ( 542 × 543) / 1
LCM(542,543) = 294306 / 1
LCM(542,543) = 294306

Properties of LCM 542 and 543

(i) The LCM of 543 and 542 is associative

LCM of 542 and 543 = LCM of 543 and 542

Related Least Common Multiples of 542

Related Least Common Multiples of 543

Frequently Asked Questions on LCM of 542 and 543

1. What is the LCM of 542 and 543?

Answer: LCM of 542 and 543 is 294306.

2. What are the Factors of 542?

Answer: Factors of 542 are 1, 2, 271, 542. There are 4 integers that are factors of 542. The greatest factor of 542 is 542.

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 542 and 543?

Answer:

Least Common Multiple of 542 and 543 = 294306

Step 1: Find the prime factorization of 542

542 = 2 x 271

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 = 294306 = 2 x 3 x 181 x 271

Step 4: Therefore, the least common multiple of 542 and 543 is 294306.