Least Common Multiple of 535 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 535 and 540 the smallest integer that is 57780 that is divisible by both numbers.

Least Common Multiple (LCM) of 535 and 540 is 57780.

LCM(535,540) = 57780

LCM of 535 and 540

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

LCM of:
and

Least Common Multiple of 535 and 540

LCM of 535 and 540 is 57780

Least common multiple can be found by multiplying the highest exponent prime factors of 535 and 540. First we will calculate the prime factors of 535 and 540.

Prime Factorization of 535


5 535
107 107
1

Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:

535 = 51×1071

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 535 and 540.

LCM(535,540) = 22×33×51×1071
LCM(535,540) = 57780

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1, 5, 107, 535

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 535 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 535 and 540, than apply into the LCM equation.

GCF(535,540) = 5
LCM(535,540) = ( 535 × 540) / 5
LCM(535,540) = 288900 / 5
LCM(535,540) = 57780

Properties of LCM 535 and 540

(i) The LCM of 540 and 535 is associative

LCM of 535 and 540 = LCM of 540 and 535

Related Least Common Multiples of 535

Related Least Common Multiples of 540

Frequently Asked Questions on LCM of 535 and 540

1. What is the LCM of 535 and 540?

Answer: LCM of 535 and 540 is 57780.

2. What are the Factors of 535?

Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.

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 535 and 540?

Answer:

Least Common Multiple of 535 and 540 = 57780

Step 1: Find the prime factorization of 535

535 = 5 x 107

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 = 57780 = 2 x 2 x 3 x 3 x 3 x 5 x 107

Step 4: Therefore, the least common multiple of 535 and 540 is 57780.