Least Common Multiple of 541 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 541 and 544 the smallest integer that is 294304 that is divisible by both numbers.

Least Common Multiple (LCM) of 541 and 544 is 294304.

LCM(541,544) = 294304

LCM of 541 and 544

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

LCM of:
and

Least Common Multiple of 541 and 544

LCM of 541 and 544 is 294304

Least common multiple can be found by multiplying the highest exponent prime factors of 541 and 544. First we will calculate the prime factors of 541 and 544.

Prime Factorization of 541


541 541
1

Prime factors of 541 are 541. Prime factorization of 541 in exponential form is:

541 = 5411

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 541 and 544.

LCM(541,544) = 25×171×5411
LCM(541,544) = 294304

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1, 541

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 541 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 541 and 544, than apply into the LCM equation.

GCF(541,544) = 1
LCM(541,544) = ( 541 × 544) / 1
LCM(541,544) = 294304 / 1
LCM(541,544) = 294304

Properties of LCM 541 and 544

(i) The LCM of 544 and 541 is associative

LCM of 541 and 544 = LCM of 544 and 541

Related Least Common Multiples of 541

Related Least Common Multiples of 544

Frequently Asked Questions on LCM of 541 and 544

1. What is the LCM of 541 and 544?

Answer: LCM of 541 and 544 is 294304.

2. What are the Factors of 541?

Answer: Factors of 541 are 1, 541. There are 2 integers that are factors of 541. The greatest factor of 541 is 541.

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 541 and 544?

Answer:

Least Common Multiple of 541 and 544 = 294304

Step 1: Find the prime factorization of 541

541 = 541

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 = 294304 = 2 x 2 x 2 x 2 x 2 x 17 x 541

Step 4: Therefore, the least common multiple of 541 and 544 is 294304.