Least Common Multiple of 543 and 548

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 548 the smallest integer that is 297564 that is divisible by both numbers.

Least Common Multiple (LCM) of 543 and 548 is 297564.

LCM(543,548) = 297564

LCM of 543 and 548

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

LCM of:
and

Least Common Multiple of 543 and 548

LCM of 543 and 548 is 297564

Least common multiple can be found by multiplying the highest exponent prime factors of 543 and 548. First we will calculate the prime factors of 543 and 548.

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 548


2 548
2 274
137 137
1

Prime factors of 548 are 2,137. Prime factorization of 548 in exponential form is:

548 = 22×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 543 and 548.

LCM(543,548) = 22×31×1371×1811
LCM(543,548) = 297564

Factors of 543

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

1, 3, 181, 543

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Least Common Multiple of 543 and 548 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 548, than apply into the LCM equation.

GCF(543,548) = 1
LCM(543,548) = ( 543 × 548) / 1
LCM(543,548) = 297564 / 1
LCM(543,548) = 297564

Properties of LCM 543 and 548

(i) The LCM of 548 and 543 is associative

LCM of 543 and 548 = LCM of 548 and 543

Related Least Common Multiples of 543

Related Least Common Multiples of 548

Frequently Asked Questions on LCM of 543 and 548

1. What is the LCM of 543 and 548?

Answer: LCM of 543 and 548 is 297564.

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 548?

Answer: Factors of 548 are 1, 2, 4, 137, 274, 548. There are 6 integers that are factors of 548. The greatest factor of 548 is 548.

4. How to Find the LCM of 543 and 548?

Answer:

Least Common Multiple of 543 and 548 = 297564

Step 1: Find the prime factorization of 543

543 = 3 x 181

Step 2: Find the prime factorization of 548

548 = 2 x 2 x 137

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

LCM = 297564 = 2 x 2 x 3 x 137 x 181

Step 4: Therefore, the least common multiple of 543 and 548 is 297564.