Least Common Multiple of 537 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 537 and 540 the smallest integer that is 96660 that is divisible by both numbers.

Least Common Multiple (LCM) of 537 and 540 is 96660.

LCM(537,540) = 96660

LCM of 537 and 540

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

LCM of:
and

Least Common Multiple of 537 and 540

LCM of 537 and 540 is 96660

Least common multiple can be found by multiplying the highest exponent prime factors of 537 and 540. First we will calculate the prime factors of 537 and 540.

Prime Factorization of 537


3 537
179 179
1

Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:

537 = 31×1791

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 537 and 540.

LCM(537,540) = 22×33×51×1791
LCM(537,540) = 96660

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1, 3, 179, 537

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 537 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 537 and 540, than apply into the LCM equation.

GCF(537,540) = 3
LCM(537,540) = ( 537 × 540) / 3
LCM(537,540) = 289980 / 3
LCM(537,540) = 96660

Properties of LCM 537 and 540

(i) The LCM of 540 and 537 is associative

LCM of 537 and 540 = LCM of 540 and 537

Related Least Common Multiples of 537

Related Least Common Multiples of 540

Frequently Asked Questions on LCM of 537 and 540

1. What is the LCM of 537 and 540?

Answer: LCM of 537 and 540 is 96660.

2. What are the Factors of 537?

Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.

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 537 and 540?

Answer:

Least Common Multiple of 537 and 540 = 96660

Step 1: Find the prime factorization of 537

537 = 3 x 179

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 = 96660 = 2 x 2 x 3 x 3 x 3 x 5 x 179

Step 4: Therefore, the least common multiple of 537 and 540 is 96660.