Least Common Multiple of 540 and 542

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 542 the smallest integer that is 146340 that is divisible by both numbers.

Least Common Multiple (LCM) of 540 and 542 is 146340.

LCM(540,542) = 146340

LCM of 540 and 542

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

LCM of:
and

Least Common Multiple of 540 and 542

LCM of 540 and 542 is 146340

Least common multiple can be found by multiplying the highest exponent prime factors of 540 and 542. First we will calculate the prime factors of 540 and 542.

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 542


2 542
271 271
1

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

542 = 21×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 540 and 542.

LCM(540,542) = 22×33×51×2711
LCM(540,542) = 146340

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 542

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

1, 2, 271, 542

Least Common Multiple of 540 and 542 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 542, than apply into the LCM equation.

GCF(540,542) = 2
LCM(540,542) = ( 540 × 542) / 2
LCM(540,542) = 292680 / 2
LCM(540,542) = 146340

Properties of LCM 540 and 542

(i) The LCM of 542 and 540 is associative

LCM of 540 and 542 = LCM of 542 and 540

Related Least Common Multiples of 540

Related Least Common Multiples of 542

Frequently Asked Questions on LCM of 540 and 542

1. What is the LCM of 540 and 542?

Answer: LCM of 540 and 542 is 146340.

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 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.

4. How to Find the LCM of 540 and 542?

Answer:

Least Common Multiple of 540 and 542 = 146340

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 542

542 = 2 x 271

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

LCM = 146340 = 2 x 2 x 3 x 3 x 3 x 5 x 271

Step 4: Therefore, the least common multiple of 540 and 542 is 146340.