Least Common Multiple of 541 and 542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 541 and 542 the smallest integer that is 293222 that is divisible by both numbers.

Least Common Multiple (LCM) of 541 and 542 is 293222.

LCM(541,542) = 293222

LCM of 541 and 542

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

LCM of:
and

Least Common Multiple of 541 and 542

LCM of 541 and 542 is 293222

Least common multiple can be found by multiplying the highest exponent prime factors of 541 and 542. First we will calculate the prime factors of 541 and 542.

Prime Factorization of 541


541 541
1

Prime factors of 541 are 541. Prime factorization of 541 in exponential form is:

541 = 5411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 541 and 542.

LCM(541,542) = 21×2711×5411
LCM(541,542) = 293222

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1, 541

Factors of 542

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

1, 2, 271, 542

Least Common Multiple of 541 and 542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 541 and 542, than apply into the LCM equation.

GCF(541,542) = 1
LCM(541,542) = ( 541 × 542) / 1
LCM(541,542) = 293222 / 1
LCM(541,542) = 293222

Properties of LCM 541 and 542

(i) The LCM of 542 and 541 is associative

LCM of 541 and 542 = LCM of 542 and 541

Related Least Common Multiples of 541

Related Least Common Multiples of 542

Frequently Asked Questions on LCM of 541 and 542

1. What is the LCM of 541 and 542?

Answer: LCM of 541 and 542 is 293222.

2. What are the Factors of 541?

Answer: Factors of 541 are 1, 541. There are 2 integers that are factors of 541. The greatest factor of 541 is 541.

3. 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.

4. How to Find the LCM of 541 and 542?

Answer:

Least Common Multiple of 541 and 542 = 293222

Step 1: Find the prime factorization of 541

541 = 541

Step 2: Find the prime factorization of 542

542 = 2 x 271

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

LCM = 293222 = 2 x 271 x 541

Step 4: Therefore, the least common multiple of 541 and 542 is 293222.