Least Common Multiple of 543 and 550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 543 and 550 the smallest integer that is 298650 that is divisible by both numbers.

Least Common Multiple (LCM) of 543 and 550 is 298650.

LCM(543,550) = 298650

LCM of 543 and 550

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

LCM of:
and

Least Common Multiple of 543 and 550

LCM of 543 and 550 is 298650

Least common multiple can be found by multiplying the highest exponent prime factors of 543 and 550. First we will calculate the prime factors of 543 and 550.

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

Prime Factorization of 550


2 550
5 275
5 55
11 11
1

Prime factors of 550 are 2, 5,11. Prime factorization of 550 in exponential form is:

550 = 21×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 543 and 550.

LCM(543,550) = 21×31×52×111×1811
LCM(543,550) = 298650

Factors of 543

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

1, 3, 181, 543

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Least Common Multiple of 543 and 550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 543 and 550, than apply into the LCM equation.

GCF(543,550) = 1
LCM(543,550) = ( 543 × 550) / 1
LCM(543,550) = 298650 / 1
LCM(543,550) = 298650

Properties of LCM 543 and 550

(i) The LCM of 550 and 543 is associative

LCM of 543 and 550 = LCM of 550 and 543

Related Least Common Multiples of 543

Related Least Common Multiples of 550

Frequently Asked Questions on LCM of 543 and 550

1. What is the LCM of 543 and 550?

Answer: LCM of 543 and 550 is 298650.

2. 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.

3. What are the Factors of 550?

Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.

4. How to Find the LCM of 543 and 550?

Answer:

Least Common Multiple of 543 and 550 = 298650

Step 1: Find the prime factorization of 543

543 = 3 x 181

Step 2: Find the prime factorization of 550

550 = 2 x 5 x 5 x 11

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

LCM = 298650 = 2 x 3 x 5 x 5 x 11 x 181

Step 4: Therefore, the least common multiple of 543 and 550 is 298650.