Least Common Multiple of 544 and 547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 544 and 547 the smallest integer that is 297568 that is divisible by both numbers.

Least Common Multiple (LCM) of 544 and 547 is 297568.

LCM(544,547) = 297568

LCM of 544 and 547

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

LCM of:
and

Least Common Multiple of 544 and 547

LCM of 544 and 547 is 297568

Least common multiple can be found by multiplying the highest exponent prime factors of 544 and 547. First we will calculate the prime factors of 544 and 547.

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

Prime Factorization of 547


547 547
1

Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:

547 = 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 544 and 547.

LCM(544,547) = 25×171×5471
LCM(544,547) = 297568

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

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1, 547

Least Common Multiple of 544 and 547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 544 and 547, than apply into the LCM equation.

GCF(544,547) = 1
LCM(544,547) = ( 544 × 547) / 1
LCM(544,547) = 297568 / 1
LCM(544,547) = 297568

Properties of LCM 544 and 547

(i) The LCM of 547 and 544 is associative

LCM of 544 and 547 = LCM of 547 and 544

Related Least Common Multiples of 544

Related Least Common Multiples of 547

Frequently Asked Questions on LCM of 544 and 547

1. What is the LCM of 544 and 547?

Answer: LCM of 544 and 547 is 297568.

2. 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.

3. What are the Factors of 547?

Answer: Factors of 547 are 1, 547. There are 2 integers that are factors of 547. The greatest factor of 547 is 547.

4. How to Find the LCM of 544 and 547?

Answer:

Least Common Multiple of 544 and 547 = 297568

Step 1: Find the prime factorization of 544

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

Step 2: Find the prime factorization of 547

547 = 547

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

LCM = 297568 = 2 x 2 x 2 x 2 x 2 x 17 x 547

Step 4: Therefore, the least common multiple of 544 and 547 is 297568.