Least Common Multiple of 536 and 543

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 543 the smallest integer that is 291048 that is divisible by both numbers.

Least Common Multiple (LCM) of 536 and 543 is 291048.

LCM(536,543) = 291048

LCM of 536 and 543

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

LCM of:
and

Least Common Multiple of 536 and 543

LCM of 536 and 543 is 291048

Least common multiple can be found by multiplying the highest exponent prime factors of 536 and 543. First we will calculate the prime factors of 536 and 543.

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 543


3 543
181 181
1

Prime factors of 543 are 3,181. Prime factorization of 543 in exponential form is:

543 = 31×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 536 and 543.

LCM(536,543) = 23×31×671×1811
LCM(536,543) = 291048

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 543

List of positive integer factors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Least Common Multiple of 536 and 543 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 543, than apply into the LCM equation.

GCF(536,543) = 1
LCM(536,543) = ( 536 × 543) / 1
LCM(536,543) = 291048 / 1
LCM(536,543) = 291048

Properties of LCM 536 and 543

(i) The LCM of 543 and 536 is associative

LCM of 536 and 543 = LCM of 543 and 536

Related Least Common Multiples of 536

Related Least Common Multiples of 543

Frequently Asked Questions on LCM of 536 and 543

1. What is the LCM of 536 and 543?

Answer: LCM of 536 and 543 is 291048.

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 543?

Answer: Factors of 543 are 1, 3, 181, 543. There are 4 integers that are factors of 543. The greatest factor of 543 is 543.

4. How to Find the LCM of 536 and 543?

Answer:

Least Common Multiple of 536 and 543 = 291048

Step 1: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 543

543 = 3 x 181

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

LCM = 291048 = 2 x 2 x 2 x 3 x 67 x 181

Step 4: Therefore, the least common multiple of 536 and 543 is 291048.