Least Common Multiple of 542 and 549

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 549 the smallest integer that is 297558 that is divisible by both numbers.

Least Common Multiple (LCM) of 542 and 549 is 297558.

LCM(542,549) = 297558

LCM of 542 and 549

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

LCM of:
and

Least Common Multiple of 542 and 549

LCM of 542 and 549 is 297558

Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 549. First we will calculate the prime factors of 542 and 549.

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 549


3 549
3 183
61 61
1

Prime factors of 549 are 3,61. Prime factorization of 549 in exponential form is:

549 = 32×611

Now multiplying the highest exponent prime factors to calculate the LCM of 542 and 549.

LCM(542,549) = 21×32×611×2711
LCM(542,549) = 297558

Factors of 542

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

1, 2, 271, 542

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Least Common Multiple of 542 and 549 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 549, than apply into the LCM equation.

GCF(542,549) = 1
LCM(542,549) = ( 542 × 549) / 1
LCM(542,549) = 297558 / 1
LCM(542,549) = 297558

Properties of LCM 542 and 549

(i) The LCM of 549 and 542 is associative

LCM of 542 and 549 = LCM of 549 and 542

Related Least Common Multiples of 542

Related Least Common Multiples of 549

Frequently Asked Questions on LCM of 542 and 549

1. What is the LCM of 542 and 549?

Answer: LCM of 542 and 549 is 297558.

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 549?

Answer: Factors of 549 are 1, 3, 9, 61, 183, 549. There are 6 integers that are factors of 549. The greatest factor of 549 is 549.

4. How to Find the LCM of 542 and 549?

Answer:

Least Common Multiple of 542 and 549 = 297558

Step 1: Find the prime factorization of 542

542 = 2 x 271

Step 2: Find the prime factorization of 549

549 = 3 x 3 x 61

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

LCM = 297558 = 2 x 3 x 3 x 61 x 271

Step 4: Therefore, the least common multiple of 542 and 549 is 297558.