Least Common Multiple of 537 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 537 and 543 the smallest integer that is 97197 that is divisible by both numbers.

Least Common Multiple (LCM) of 537 and 543 is 97197.

LCM(537,543) = 97197

LCM of 537 and 543

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

LCM of:
and

Least Common Multiple of 537 and 543

LCM of 537 and 543 is 97197

Least common multiple can be found by multiplying the highest exponent prime factors of 537 and 543. First we will calculate the prime factors of 537 and 543.

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 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 537 and 543.

LCM(537,543) = 31×1791×1811
LCM(537,543) = 97197

Factors of 537

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

1, 3, 179, 537

Factors of 543

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

1, 3, 181, 543

Least Common Multiple of 537 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 537 and 543, than apply into the LCM equation.

GCF(537,543) = 3
LCM(537,543) = ( 537 × 543) / 3
LCM(537,543) = 291591 / 3
LCM(537,543) = 97197

Properties of LCM 537 and 543

(i) The LCM of 543 and 537 is associative

LCM of 537 and 543 = LCM of 543 and 537

Related Least Common Multiples of 537

Related Least Common Multiples of 543

Frequently Asked Questions on LCM of 537 and 543

1. What is the LCM of 537 and 543?

Answer: LCM of 537 and 543 is 97197.

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 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 537 and 543?

Answer:

Least Common Multiple of 537 and 543 = 97197

Step 1: Find the prime factorization of 537

537 = 3 x 179

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 = 97197 = 3 x 179 x 181

Step 4: Therefore, the least common multiple of 537 and 543 is 97197.