Least Common Multiple of 549 and 553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 549 and 553 the smallest integer that is 303597 that is divisible by both numbers.

Least Common Multiple (LCM) of 549 and 553 is 303597.

LCM(549,553) = 303597

LCM of 549 and 553

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

LCM of:
and

Least Common Multiple of 549 and 553

LCM of 549 and 553 is 303597

Least common multiple can be found by multiplying the highest exponent prime factors of 549 and 553. First we will calculate the prime factors of 549 and 553.

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

Prime Factorization of 553


7 553
79 79
1

Prime factors of 553 are 7,79. Prime factorization of 553 in exponential form is:

553 = 71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 549 and 553.

LCM(549,553) = 32×71×611×791
LCM(549,553) = 303597

Factors of 549

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

1, 3, 9, 61, 183, 549

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Least Common Multiple of 549 and 553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 549 and 553, than apply into the LCM equation.

GCF(549,553) = 1
LCM(549,553) = ( 549 × 553) / 1
LCM(549,553) = 303597 / 1
LCM(549,553) = 303597

Properties of LCM 549 and 553

(i) The LCM of 553 and 549 is associative

LCM of 549 and 553 = LCM of 553 and 549

Related Least Common Multiples of 549

Related Least Common Multiples of 553

Frequently Asked Questions on LCM of 549 and 553

1. What is the LCM of 549 and 553?

Answer: LCM of 549 and 553 is 303597.

2. 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.

3. What are the Factors of 553?

Answer: Factors of 553 are 1, 7, 79, 553. There are 4 integers that are factors of 553. The greatest factor of 553 is 553.

4. How to Find the LCM of 549 and 553?

Answer:

Least Common Multiple of 549 and 553 = 303597

Step 1: Find the prime factorization of 549

549 = 3 x 3 x 61

Step 2: Find the prime factorization of 553

553 = 7 x 79

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

LCM = 303597 = 3 x 3 x 7 x 61 x 79

Step 4: Therefore, the least common multiple of 549 and 553 is 303597.