Least Common Multiple of 538 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 538 and 544 the smallest integer that is 146336 that is divisible by both numbers.

Least Common Multiple (LCM) of 538 and 544 is 146336.

LCM(538,544) = 146336

LCM of 538 and 544

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

LCM of:
and

Least Common Multiple of 538 and 544

LCM of 538 and 544 is 146336

Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 544. First we will calculate the prime factors of 538 and 544.

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

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 538 and 544.

LCM(538,544) = 25×171×2691
LCM(538,544) = 146336

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 538 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 538 and 544, than apply into the LCM equation.

GCF(538,544) = 2
LCM(538,544) = ( 538 × 544) / 2
LCM(538,544) = 292672 / 2
LCM(538,544) = 146336

Properties of LCM 538 and 544

(i) The LCM of 544 and 538 is associative

LCM of 538 and 544 = LCM of 544 and 538

Related Least Common Multiples of 538

Related Least Common Multiples of 544

Frequently Asked Questions on LCM of 538 and 544

1. What is the LCM of 538 and 544?

Answer: LCM of 538 and 544 is 146336.

2. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

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 538 and 544?

Answer:

Least Common Multiple of 538 and 544 = 146336

Step 1: Find the prime factorization of 538

538 = 2 x 269

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 = 146336 = 2 x 2 x 2 x 2 x 2 x 17 x 269

Step 4: Therefore, the least common multiple of 538 and 544 is 146336.