Least Common Multiple of 540 and 541

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 541 the smallest integer that is 292140 that is divisible by both numbers.

Least Common Multiple (LCM) of 540 and 541 is 292140.

LCM(540,541) = 292140

LCM of 540 and 541

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

LCM of:
and

Least Common Multiple of 540 and 541

LCM of 540 and 541 is 292140

Least common multiple can be found by multiplying the highest exponent prime factors of 540 and 541. First we will calculate the prime factors of 540 and 541.

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 541


541 541
1

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

541 = 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 540 and 541.

LCM(540,541) = 22×33×51×5411
LCM(540,541) = 292140

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 541

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

1, 541

Least Common Multiple of 540 and 541 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 541, than apply into the LCM equation.

GCF(540,541) = 1
LCM(540,541) = ( 540 × 541) / 1
LCM(540,541) = 292140 / 1
LCM(540,541) = 292140

Properties of LCM 540 and 541

(i) The LCM of 541 and 540 is associative

LCM of 540 and 541 = LCM of 541 and 540

Related Least Common Multiples of 540

Related Least Common Multiples of 541

Frequently Asked Questions on LCM of 540 and 541

1. What is the LCM of 540 and 541?

Answer: LCM of 540 and 541 is 292140.

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 541?

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

4. How to Find the LCM of 540 and 541?

Answer:

Least Common Multiple of 540 and 541 = 292140

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 541

541 = 541

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

LCM = 292140 = 2 x 2 x 3 x 3 x 3 x 5 x 541

Step 4: Therefore, the least common multiple of 540 and 541 is 292140.