Least Common Multiple of 549 and 557

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 557 the smallest integer that is 305793 that is divisible by both numbers.

Least Common Multiple (LCM) of 549 and 557 is 305793.

LCM(549,557) = 305793

LCM of 549 and 557

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

LCM of:
and

Least Common Multiple of 549 and 557

LCM of 549 and 557 is 305793

Least common multiple can be found by multiplying the highest exponent prime factors of 549 and 557. First we will calculate the prime factors of 549 and 557.

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 557


557 557
1

Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:

557 = 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 549 and 557.

LCM(549,557) = 32×611×5571
LCM(549,557) = 305793

Factors of 549

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

1, 3, 9, 61, 183, 549

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1, 557

Least Common Multiple of 549 and 557 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 557, than apply into the LCM equation.

GCF(549,557) = 1
LCM(549,557) = ( 549 × 557) / 1
LCM(549,557) = 305793 / 1
LCM(549,557) = 305793

Properties of LCM 549 and 557

(i) The LCM of 557 and 549 is associative

LCM of 549 and 557 = LCM of 557 and 549

Related Least Common Multiples of 549

Related Least Common Multiples of 557

Frequently Asked Questions on LCM of 549 and 557

1. What is the LCM of 549 and 557?

Answer: LCM of 549 and 557 is 305793.

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 557?

Answer: Factors of 557 are 1, 557. There are 2 integers that are factors of 557. The greatest factor of 557 is 557.

4. How to Find the LCM of 549 and 557?

Answer:

Least Common Multiple of 549 and 557 = 305793

Step 1: Find the prime factorization of 549

549 = 3 x 3 x 61

Step 2: Find the prime factorization of 557

557 = 557

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

LCM = 305793 = 3 x 3 x 61 x 557

Step 4: Therefore, the least common multiple of 549 and 557 is 305793.