Least Common Multiple of 538 and 540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 538 and 540 the smallest integer that is 145260 that is divisible by both numbers.

Least Common Multiple (LCM) of 538 and 540 is 145260.

LCM(538,540) = 145260

LCM of 538 and 540

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

LCM of:
and

Least Common Multiple of 538 and 540

LCM of 538 and 540 is 145260

Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 540. First we will calculate the prime factors of 538 and 540.

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 538 and 540.

LCM(538,540) = 22×33×51×2691
LCM(538,540) = 145260

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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

Least Common Multiple of 538 and 540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 538 and 540, than apply into the LCM equation.

GCF(538,540) = 2
LCM(538,540) = ( 538 × 540) / 2
LCM(538,540) = 290520 / 2
LCM(538,540) = 145260

Properties of LCM 538 and 540

(i) The LCM of 540 and 538 is associative

LCM of 538 and 540 = LCM of 540 and 538

Related Least Common Multiples of 538

Related Least Common Multiples of 540

Frequently Asked Questions on LCM of 538 and 540

1. What is the LCM of 538 and 540?

Answer: LCM of 538 and 540 is 145260.

2. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

3. 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.

4. How to Find the LCM of 538 and 540?

Answer:

Least Common Multiple of 538 and 540 = 145260

Step 1: Find the prime factorization of 538

538 = 2 x 269

Step 2: Find the prime factorization of 540

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

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

LCM = 145260 = 2 x 2 x 3 x 3 x 3 x 5 x 269

Step 4: Therefore, the least common multiple of 538 and 540 is 145260.