Least Common Multiple of 547 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 547 and 549 the smallest integer that is 300303 that is divisible by both numbers.

Least Common Multiple (LCM) of 547 and 549 is 300303.

LCM(547,549) = 300303

LCM of 547 and 549

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

LCM of:
and

Least Common Multiple of 547 and 549

LCM of 547 and 549 is 300303

Least common multiple can be found by multiplying the highest exponent prime factors of 547 and 549. First we will calculate the prime factors of 547 and 549.

Prime Factorization of 547


547 547
1

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

547 = 5471

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 547 and 549.

LCM(547,549) = 32×611×5471
LCM(547,549) = 300303

Factors of 547

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

1, 547

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 547 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 547 and 549, than apply into the LCM equation.

GCF(547,549) = 1
LCM(547,549) = ( 547 × 549) / 1
LCM(547,549) = 300303 / 1
LCM(547,549) = 300303

Properties of LCM 547 and 549

(i) The LCM of 549 and 547 is associative

LCM of 547 and 549 = LCM of 549 and 547

Related Least Common Multiples of 547

Related Least Common Multiples of 549

Frequently Asked Questions on LCM of 547 and 549

1. What is the LCM of 547 and 549?

Answer: LCM of 547 and 549 is 300303.

2. 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.

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 547 and 549?

Answer:

Least Common Multiple of 547 and 549 = 300303

Step 1: Find the prime factorization of 547

547 = 547

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 = 300303 = 3 x 3 x 61 x 547

Step 4: Therefore, the least common multiple of 547 and 549 is 300303.