Least Common Multiple of 542 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 542 and 544 the smallest integer that is 147424 that is divisible by both numbers.

Least Common Multiple (LCM) of 542 and 544 is 147424.

LCM(542,544) = 147424

LCM of 542 and 544

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

LCM of:
and

Least Common Multiple of 542 and 544

LCM of 542 and 544 is 147424

Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 544. First we will calculate the prime factors of 542 and 544.

Prime Factorization of 542


2 542
271 271
1

Prime factors of 542 are 2,271. Prime factorization of 542 in exponential form is:

542 = 21×2711

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 542 and 544.

LCM(542,544) = 25×171×2711
LCM(542,544) = 147424

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1, 2, 271, 542

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 542 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 542 and 544, than apply into the LCM equation.

GCF(542,544) = 2
LCM(542,544) = ( 542 × 544) / 2
LCM(542,544) = 294848 / 2
LCM(542,544) = 147424

Properties of LCM 542 and 544

(i) The LCM of 544 and 542 is associative

LCM of 542 and 544 = LCM of 544 and 542

Related Least Common Multiples of 542

Related Least Common Multiples of 544

Frequently Asked Questions on LCM of 542 and 544

1. What is the LCM of 542 and 544?

Answer: LCM of 542 and 544 is 147424.

2. What are the Factors of 542?

Answer: Factors of 542 are 1, 2, 271, 542. There are 4 integers that are factors of 542. The greatest factor of 542 is 542.

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 542 and 544?

Answer:

Least Common Multiple of 542 and 544 = 147424

Step 1: Find the prime factorization of 542

542 = 2 x 271

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 = 147424 = 2 x 2 x 2 x 2 x 2 x 17 x 271

Step 4: Therefore, the least common multiple of 542 and 544 is 147424.