Least Common Multiple of 542 and 547

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 547 the smallest integer that is 296474 that is divisible by both numbers.

Least Common Multiple (LCM) of 542 and 547 is 296474.

LCM(542,547) = 296474

LCM of 542 and 547

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

LCM of:
and

Least Common Multiple of 542 and 547

LCM of 542 and 547 is 296474

Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 547. First we will calculate the prime factors of 542 and 547.

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 547


547 547
1

Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:

547 = 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 542 and 547.

LCM(542,547) = 21×2711×5471
LCM(542,547) = 296474

Factors of 542

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

1, 2, 271, 542

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1, 547

Least Common Multiple of 542 and 547 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 547, than apply into the LCM equation.

GCF(542,547) = 1
LCM(542,547) = ( 542 × 547) / 1
LCM(542,547) = 296474 / 1
LCM(542,547) = 296474

Properties of LCM 542 and 547

(i) The LCM of 547 and 542 is associative

LCM of 542 and 547 = LCM of 547 and 542

Related Least Common Multiples of 542

Related Least Common Multiples of 547

Frequently Asked Questions on LCM of 542 and 547

1. What is the LCM of 542 and 547?

Answer: LCM of 542 and 547 is 296474.

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 547?

Answer: Factors of 547 are 1, 547. There are 2 integers that are factors of 547. The greatest factor of 547 is 547.

4. How to Find the LCM of 542 and 547?

Answer:

Least Common Multiple of 542 and 547 = 296474

Step 1: Find the prime factorization of 542

542 = 2 x 271

Step 2: Find the prime factorization of 547

547 = 547

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

LCM = 296474 = 2 x 271 x 547

Step 4: Therefore, the least common multiple of 542 and 547 is 296474.