Least Common Multiple of 541 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 541 and 543 the smallest integer that is 293763 that is divisible by both numbers.

Least Common Multiple (LCM) of 541 and 543 is 293763.

LCM(541,543) = 293763

LCM of 541 and 543

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

LCM of:
and

Least Common Multiple of 541 and 543

LCM of 541 and 543 is 293763

Least common multiple can be found by multiplying the highest exponent prime factors of 541 and 543. First we will calculate the prime factors of 541 and 543.

Prime Factorization of 541


541 541
1

Prime factors of 541 are 541. Prime factorization of 541 in exponential form is:

541 = 5411

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 541 and 543.

LCM(541,543) = 31×1811×5411
LCM(541,543) = 293763

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1, 541

Factors of 543

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

1, 3, 181, 543

Least Common Multiple of 541 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 541 and 543, than apply into the LCM equation.

GCF(541,543) = 1
LCM(541,543) = ( 541 × 543) / 1
LCM(541,543) = 293763 / 1
LCM(541,543) = 293763

Properties of LCM 541 and 543

(i) The LCM of 543 and 541 is associative

LCM of 541 and 543 = LCM of 543 and 541

Related Least Common Multiples of 541

Related Least Common Multiples of 543

Frequently Asked Questions on LCM of 541 and 543

1. What is the LCM of 541 and 543?

Answer: LCM of 541 and 543 is 293763.

2. What are the Factors of 541?

Answer: Factors of 541 are 1, 541. There are 2 integers that are factors of 541. The greatest factor of 541 is 541.

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 541 and 543?

Answer:

Least Common Multiple of 541 and 543 = 293763

Step 1: Find the prime factorization of 541

541 = 541

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 = 293763 = 3 x 181 x 541

Step 4: Therefore, the least common multiple of 541 and 543 is 293763.