Least Common Multiple of 543 and 544

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 544 the smallest integer that is 295392 that is divisible by both numbers.

Least Common Multiple (LCM) of 543 and 544 is 295392.

LCM(543,544) = 295392

LCM of 543 and 544

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

LCM of:
and

Least Common Multiple of 543 and 544

LCM of 543 and 544 is 295392

Least common multiple can be found by multiplying the highest exponent prime factors of 543 and 544. First we will calculate the prime factors of 543 and 544.

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 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

Now multiplying the highest exponent prime factors to calculate the LCM of 543 and 544.

LCM(543,544) = 25×31×171×1811
LCM(543,544) = 295392

Factors of 543

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

1, 3, 181, 543

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Least Common Multiple of 543 and 544 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 544, than apply into the LCM equation.

GCF(543,544) = 1
LCM(543,544) = ( 543 × 544) / 1
LCM(543,544) = 295392 / 1
LCM(543,544) = 295392

Properties of LCM 543 and 544

(i) The LCM of 544 and 543 is associative

LCM of 543 and 544 = LCM of 544 and 543

Related Least Common Multiples of 543

Related Least Common Multiples of 544

Frequently Asked Questions on LCM of 543 and 544

1. What is the LCM of 543 and 544?

Answer: LCM of 543 and 544 is 295392.

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 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

4. How to Find the LCM of 543 and 544?

Answer:

Least Common Multiple of 543 and 544 = 295392

Step 1: Find the prime factorization of 543

543 = 3 x 181

Step 2: Find the prime factorization of 544

544 = 2 x 2 x 2 x 2 x 2 x 17

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

LCM = 295392 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 181

Step 4: Therefore, the least common multiple of 543 and 544 is 295392.