Least Common Multiple of 540 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 540 and 543 the smallest integer that is 97740 that is divisible by both numbers.

Least Common Multiple (LCM) of 540 and 543 is 97740.

LCM(540,543) = 97740

LCM of 540 and 543

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

LCM of:
and

Least Common Multiple of 540 and 543

LCM of 540 and 543 is 97740

Least common multiple can be found by multiplying the highest exponent prime factors of 540 and 543. First we will calculate the prime factors of 540 and 543.

Prime Factorization of 540


2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 540 are 2, 3,5. Prime factorization of 540 in exponential form is:

540 = 22×33×51

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 540 and 543.

LCM(540,543) = 22×33×51×1811
LCM(540,543) = 97740

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Factors of 543

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

1, 3, 181, 543

Least Common Multiple of 540 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 540 and 543, than apply into the LCM equation.

GCF(540,543) = 3
LCM(540,543) = ( 540 × 543) / 3
LCM(540,543) = 293220 / 3
LCM(540,543) = 97740

Properties of LCM 540 and 543

(i) The LCM of 543 and 540 is associative

LCM of 540 and 543 = LCM of 543 and 540

Related Least Common Multiples of 540

Related Least Common Multiples of 543

Frequently Asked Questions on LCM of 540 and 543

1. What is the LCM of 540 and 543?

Answer: LCM of 540 and 543 is 97740.

2. What are the Factors of 540?

Answer: Factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540. There are 24 integers that are factors of 540. The greatest factor of 540 is 540.

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 540 and 543?

Answer:

Least Common Multiple of 540 and 543 = 97740

Step 1: Find the prime factorization of 540

540 = 2 x 2 x 3 x 3 x 3 x 5

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 = 97740 = 2 x 2 x 3 x 3 x 3 x 5 x 181

Step 4: Therefore, the least common multiple of 540 and 543 is 97740.