Least Common Multiple of 536 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 536 and 540 the smallest integer that is 72360 that is divisible by both numbers.

Least Common Multiple (LCM) of 536 and 540 is 72360.

LCM(536,540) = 72360

LCM of 536 and 540

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

LCM of:
and

Least Common Multiple of 536 and 540

LCM of 536 and 540 is 72360

Least common multiple can be found by multiplying the highest exponent prime factors of 536 and 540. First we will calculate the prime factors of 536 and 540.

Prime Factorization of 536


2 536
2 268
2 134
67 67
1

Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:

536 = 23×671

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 536 and 540.

LCM(536,540) = 23×33×51×671
LCM(536,540) = 72360

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

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 536 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 536 and 540, than apply into the LCM equation.

GCF(536,540) = 4
LCM(536,540) = ( 536 × 540) / 4
LCM(536,540) = 289440 / 4
LCM(536,540) = 72360

Properties of LCM 536 and 540

(i) The LCM of 540 and 536 is associative

LCM of 536 and 540 = LCM of 540 and 536

Related Least Common Multiples of 536

Related Least Common Multiples of 540

Frequently Asked Questions on LCM of 536 and 540

1. What is the LCM of 536 and 540?

Answer: LCM of 536 and 540 is 72360.

2. What are the Factors of 536?

Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.

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 536 and 540?

Answer:

Least Common Multiple of 536 and 540 = 72360

Step 1: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

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 = 72360 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 67

Step 4: Therefore, the least common multiple of 536 and 540 is 72360.