Least Common Multiple of 543 and 549

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 549 the smallest integer that is 99369 that is divisible by both numbers.

Least Common Multiple (LCM) of 543 and 549 is 99369.

LCM(543,549) = 99369

LCM of 543 and 549

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

LCM of:
and

Least Common Multiple of 543 and 549

LCM of 543 and 549 is 99369

Least common multiple can be found by multiplying the highest exponent prime factors of 543 and 549. First we will calculate the prime factors of 543 and 549.

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 549


3 549
3 183
61 61
1

Prime factors of 549 are 3,61. Prime factorization of 549 in exponential form is:

549 = 32×611

Now multiplying the highest exponent prime factors to calculate the LCM of 543 and 549.

LCM(543,549) = 32×611×1811
LCM(543,549) = 99369

Factors of 543

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

1, 3, 181, 543

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Least Common Multiple of 543 and 549 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 549, than apply into the LCM equation.

GCF(543,549) = 3
LCM(543,549) = ( 543 × 549) / 3
LCM(543,549) = 298107 / 3
LCM(543,549) = 99369

Properties of LCM 543 and 549

(i) The LCM of 549 and 543 is associative

LCM of 543 and 549 = LCM of 549 and 543

Related Least Common Multiples of 543

Related Least Common Multiples of 549

Frequently Asked Questions on LCM of 543 and 549

1. What is the LCM of 543 and 549?

Answer: LCM of 543 and 549 is 99369.

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 549?

Answer: Factors of 549 are 1, 3, 9, 61, 183, 549. There are 6 integers that are factors of 549. The greatest factor of 549 is 549.

4. How to Find the LCM of 543 and 549?

Answer:

Least Common Multiple of 543 and 549 = 99369

Step 1: Find the prime factorization of 543

543 = 3 x 181

Step 2: Find the prime factorization of 549

549 = 3 x 3 x 61

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

LCM = 99369 = 3 x 3 x 61 x 181

Step 4: Therefore, the least common multiple of 543 and 549 is 99369.