Least Common Multiple of 546 and 547

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 547 the smallest integer that is 298662 that is divisible by both numbers.

Least Common Multiple (LCM) of 546 and 547 is 298662.

LCM(546,547) = 298662

LCM of 546 and 547

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

LCM of:
and

Least Common Multiple of 546 and 547

LCM of 546 and 547 is 298662

Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 547. First we will calculate the prime factors of 546 and 547.

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 547


547 547
1

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

547 = 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 546 and 547.

LCM(546,547) = 21×31×71×131×5471
LCM(546,547) = 298662

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 547

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

1, 547

Least Common Multiple of 546 and 547 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 547, than apply into the LCM equation.

GCF(546,547) = 1
LCM(546,547) = ( 546 × 547) / 1
LCM(546,547) = 298662 / 1
LCM(546,547) = 298662

Properties of LCM 546 and 547

(i) The LCM of 547 and 546 is associative

LCM of 546 and 547 = LCM of 547 and 546

Related Least Common Multiples of 546

Related Least Common Multiples of 547

Frequently Asked Questions on LCM of 546 and 547

1. What is the LCM of 546 and 547?

Answer: LCM of 546 and 547 is 298662.

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 547?

Answer: Factors of 547 are 1, 547. There are 2 integers that are factors of 547. The greatest factor of 547 is 547.

4. How to Find the LCM of 546 and 547?

Answer:

Least Common Multiple of 546 and 547 = 298662

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 547

547 = 547

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

LCM = 298662 = 2 x 3 x 7 x 13 x 547

Step 4: Therefore, the least common multiple of 546 and 547 is 298662.