Least Common Multiple of 544 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 544 and 549 the smallest integer that is 298656 that is divisible by both numbers.

Least Common Multiple (LCM) of 544 and 549 is 298656.

LCM(544,549) = 298656

LCM of 544 and 549

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

LCM of:
and

Least Common Multiple of 544 and 549

LCM of 544 and 549 is 298656

Least common multiple can be found by multiplying the highest exponent prime factors of 544 and 549. First we will calculate the prime factors of 544 and 549.

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 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 544 and 549.

LCM(544,549) = 25×32×171×611
LCM(544,549) = 298656

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 549

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

1, 3, 9, 61, 183, 549

Least Common Multiple of 544 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 544 and 549, than apply into the LCM equation.

GCF(544,549) = 1
LCM(544,549) = ( 544 × 549) / 1
LCM(544,549) = 298656 / 1
LCM(544,549) = 298656

Properties of LCM 544 and 549

(i) The LCM of 549 and 544 is associative

LCM of 544 and 549 = LCM of 549 and 544

Related Least Common Multiples of 544

Related Least Common Multiples of 549

Frequently Asked Questions on LCM of 544 and 549

1. What is the LCM of 544 and 549?

Answer: LCM of 544 and 549 is 298656.

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 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 544 and 549?

Answer:

Least Common Multiple of 544 and 549 = 298656

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 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 = 298656 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 61

Step 4: Therefore, the least common multiple of 544 and 549 is 298656.