Least Common Multiple of 541 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 541 and 549 the smallest integer that is 297009 that is divisible by both numbers.

Least Common Multiple (LCM) of 541 and 549 is 297009.

LCM(541,549) = 297009

LCM of 541 and 549

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

LCM of:
and

Least Common Multiple of 541 and 549

LCM of 541 and 549 is 297009

Least common multiple can be found by multiplying the highest exponent prime factors of 541 and 549. First we will calculate the prime factors of 541 and 549.

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 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 541 and 549.

LCM(541,549) = 32×611×5411
LCM(541,549) = 297009

Factors of 541

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

1, 541

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 541 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 541 and 549, than apply into the LCM equation.

GCF(541,549) = 1
LCM(541,549) = ( 541 × 549) / 1
LCM(541,549) = 297009 / 1
LCM(541,549) = 297009

Properties of LCM 541 and 549

(i) The LCM of 549 and 541 is associative

LCM of 541 and 549 = LCM of 549 and 541

Related Least Common Multiples of 541

Related Least Common Multiples of 549

Frequently Asked Questions on LCM of 541 and 549

1. What is the LCM of 541 and 549?

Answer: LCM of 541 and 549 is 297009.

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 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 541 and 549?

Answer:

Least Common Multiple of 541 and 549 = 297009

Step 1: Find the prime factorization of 541

541 = 541

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 = 297009 = 3 x 3 x 61 x 541

Step 4: Therefore, the least common multiple of 541 and 549 is 297009.