Least Common Multiple of 546 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 546 and 549 the smallest integer that is 99918 that is divisible by both numbers.

Least Common Multiple (LCM) of 546 and 549 is 99918.

LCM(546,549) = 99918

LCM of 546 and 549

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

LCM of:
and

Least Common Multiple of 546 and 549

LCM of 546 and 549 is 99918

Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 549. First we will calculate the prime factors of 546 and 549.

Prime Factorization of 546


2 546
3 273
7 91
13 13
1

Prime factors of 546 are 2, 3, 7,13. Prime factorization of 546 in exponential form is:

546 = 21×31×71×131

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 546 and 549.

LCM(546,549) = 21×32×71×131×611
LCM(546,549) = 99918

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 546 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 546 and 549, than apply into the LCM equation.

GCF(546,549) = 3
LCM(546,549) = ( 546 × 549) / 3
LCM(546,549) = 299754 / 3
LCM(546,549) = 99918

Properties of LCM 546 and 549

(i) The LCM of 549 and 546 is associative

LCM of 546 and 549 = LCM of 549 and 546

Frequently Asked Questions on LCM of 546 and 549

1. What is the LCM of 546 and 549?

Answer: LCM of 546 and 549 is 99918.

2. What are the Factors of 546?

Answer: Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546. There are 16 integers that are factors of 546. The greatest factor of 546 is 546.

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 546 and 549?

Answer:

Least Common Multiple of 546 and 549 = 99918

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

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 = 99918 = 2 x 3 x 3 x 7 x 13 x 61

Step 4: Therefore, the least common multiple of 546 and 549 is 99918.