Least Common Multiple of 540 and 544

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 544 the smallest integer that is 73440 that is divisible by both numbers.

Least Common Multiple (LCM) of 540 and 544 is 73440.

LCM(540,544) = 73440

LCM of 540 and 544

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

LCM of:
and

Least Common Multiple of 540 and 544

LCM of 540 and 544 is 73440

Least common multiple can be found by multiplying the highest exponent prime factors of 540 and 544. First we will calculate the prime factors of 540 and 544.

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 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

Now multiplying the highest exponent prime factors to calculate the LCM of 540 and 544.

LCM(540,544) = 25×33×51×171
LCM(540,544) = 73440

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 544

List of positive integer factors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Least Common Multiple of 540 and 544 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 544, than apply into the LCM equation.

GCF(540,544) = 4
LCM(540,544) = ( 540 × 544) / 4
LCM(540,544) = 293760 / 4
LCM(540,544) = 73440

Properties of LCM 540 and 544

(i) The LCM of 544 and 540 is associative

LCM of 540 and 544 = LCM of 544 and 540

Related Least Common Multiples of 540

Related Least Common Multiples of 544

Frequently Asked Questions on LCM of 540 and 544

1. What is the LCM of 540 and 544?

Answer: LCM of 540 and 544 is 73440.

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 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

4. How to Find the LCM of 540 and 544?

Answer:

Least Common Multiple of 540 and 544 = 73440

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 544

544 = 2 x 2 x 2 x 2 x 2 x 17

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

LCM = 73440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17

Step 4: Therefore, the least common multiple of 540 and 544 is 73440.