Least Common Multiple of 549 and 554

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 554 the smallest integer that is 304146 that is divisible by both numbers.

Least Common Multiple (LCM) of 549 and 554 is 304146.

LCM(549,554) = 304146

LCM of 549 and 554

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

LCM of:
and

Least Common Multiple of 549 and 554

LCM of 549 and 554 is 304146

Least common multiple can be found by multiplying the highest exponent prime factors of 549 and 554. First we will calculate the prime factors of 549 and 554.

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 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 549 and 554.

LCM(549,554) = 21×32×611×2771
LCM(549,554) = 304146

Factors of 549

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

1, 3, 9, 61, 183, 549

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Least Common Multiple of 549 and 554 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 554, than apply into the LCM equation.

GCF(549,554) = 1
LCM(549,554) = ( 549 × 554) / 1
LCM(549,554) = 304146 / 1
LCM(549,554) = 304146

Properties of LCM 549 and 554

(i) The LCM of 554 and 549 is associative

LCM of 549 and 554 = LCM of 554 and 549

Related Least Common Multiples of 549

Related Least Common Multiples of 554

Frequently Asked Questions on LCM of 549 and 554

1. What is the LCM of 549 and 554?

Answer: LCM of 549 and 554 is 304146.

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 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

4. How to Find the LCM of 549 and 554?

Answer:

Least Common Multiple of 549 and 554 = 304146

Step 1: Find the prime factorization of 549

549 = 3 x 3 x 61

Step 2: Find the prime factorization of 554

554 = 2 x 277

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

LCM = 304146 = 2 x 3 x 3 x 61 x 277

Step 4: Therefore, the least common multiple of 549 and 554 is 304146.