Least Common Multiple of 544 and 552

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 552 the smallest integer that is 37536 that is divisible by both numbers.

Least Common Multiple (LCM) of 544 and 552 is 37536.

LCM(544,552) = 37536

LCM of 544 and 552

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

LCM of:
and

Least Common Multiple of 544 and 552

LCM of 544 and 552 is 37536

Least common multiple can be found by multiplying the highest exponent prime factors of 544 and 552. First we will calculate the prime factors of 544 and 552.

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 552


2 552
2 276
2 138
3 69
23 23
1

Prime factors of 552 are 2, 3,23. Prime factorization of 552 in exponential form is:

552 = 23×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 544 and 552.

LCM(544,552) = 25×31×171×231
LCM(544,552) = 37536

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 552

List of positive integer factors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Least Common Multiple of 544 and 552 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 552, than apply into the LCM equation.

GCF(544,552) = 8
LCM(544,552) = ( 544 × 552) / 8
LCM(544,552) = 300288 / 8
LCM(544,552) = 37536

Properties of LCM 544 and 552

(i) The LCM of 552 and 544 is associative

LCM of 544 and 552 = LCM of 552 and 544

Related Least Common Multiples of 544

Related Least Common Multiples of 552

Frequently Asked Questions on LCM of 544 and 552

1. What is the LCM of 544 and 552?

Answer: LCM of 544 and 552 is 37536.

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 552?

Answer: Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. There are 16 integers that are factors of 552. The greatest factor of 552 is 552.

4. How to Find the LCM of 544 and 552?

Answer:

Least Common Multiple of 544 and 552 = 37536

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 552

552 = 2 x 2 x 2 x 3 x 23

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

LCM = 37536 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 23

Step 4: Therefore, the least common multiple of 544 and 552 is 37536.