Least Common Multiple of 544 and 551

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 551 the smallest integer that is 299744 that is divisible by both numbers.

Least Common Multiple (LCM) of 544 and 551 is 299744.

LCM(544,551) = 299744

LCM of 544 and 551

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

LCM of:
and

Least Common Multiple of 544 and 551

LCM of 544 and 551 is 299744

Least common multiple can be found by multiplying the highest exponent prime factors of 544 and 551. First we will calculate the prime factors of 544 and 551.

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 551


19 551
29 29
1

Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:

551 = 191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 544 and 551.

LCM(544,551) = 25×171×191×291
LCM(544,551) = 299744

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 551

List of positive integer factors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Least Common Multiple of 544 and 551 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 551, than apply into the LCM equation.

GCF(544,551) = 1
LCM(544,551) = ( 544 × 551) / 1
LCM(544,551) = 299744 / 1
LCM(544,551) = 299744

Properties of LCM 544 and 551

(i) The LCM of 551 and 544 is associative

LCM of 544 and 551 = LCM of 551 and 544

Related Least Common Multiples of 544

Related Least Common Multiples of 551

Frequently Asked Questions on LCM of 544 and 551

1. What is the LCM of 544 and 551?

Answer: LCM of 544 and 551 is 299744.

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 551?

Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.

4. How to Find the LCM of 544 and 551?

Answer:

Least Common Multiple of 544 and 551 = 299744

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 551

551 = 19 x 29

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

LCM = 299744 = 2 x 2 x 2 x 2 x 2 x 17 x 19 x 29

Step 4: Therefore, the least common multiple of 544 and 551 is 299744.