Least Common Multiple of 534 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 534 and 540 the smallest integer that is 48060 that is divisible by both numbers.

Least Common Multiple (LCM) of 534 and 540 is 48060.

LCM(534,540) = 48060

LCM of 534 and 540

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

LCM of:
and

Least Common Multiple of 534 and 540

LCM of 534 and 540 is 48060

Least common multiple can be found by multiplying the highest exponent prime factors of 534 and 540. First we will calculate the prime factors of 534 and 540.

Prime Factorization of 534


2 534
3 267
89 89
1

Prime factors of 534 are 2, 3,89. Prime factorization of 534 in exponential form is:

534 = 21×31×891

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 534 and 540.

LCM(534,540) = 22×33×51×891
LCM(534,540) = 48060

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

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 534 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 534 and 540, than apply into the LCM equation.

GCF(534,540) = 6
LCM(534,540) = ( 534 × 540) / 6
LCM(534,540) = 288360 / 6
LCM(534,540) = 48060

Properties of LCM 534 and 540

(i) The LCM of 540 and 534 is associative

LCM of 534 and 540 = LCM of 540 and 534

Related Least Common Multiples of 534

Related Least Common Multiples of 540

Frequently Asked Questions on LCM of 534 and 540

1. What is the LCM of 534 and 540?

Answer: LCM of 534 and 540 is 48060.

2. What are the Factors of 534?

Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.

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 534 and 540?

Answer:

Least Common Multiple of 534 and 540 = 48060

Step 1: Find the prime factorization of 534

534 = 2 x 3 x 89

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 = 48060 = 2 x 2 x 3 x 3 x 3 x 5 x 89

Step 4: Therefore, the least common multiple of 534 and 540 is 48060.