Least Common Multiple of 539 and 546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 539 and 546 the smallest integer that is 42042 that is divisible by both numbers.

Least Common Multiple (LCM) of 539 and 546 is 42042.

LCM(539,546) = 42042

LCM of 539 and 546

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

LCM of:
and

Least Common Multiple of 539 and 546

LCM of 539 and 546 is 42042

Least common multiple can be found by multiplying the highest exponent prime factors of 539 and 546. First we will calculate the prime factors of 539 and 546.

Prime Factorization of 539


7 539
7 77
11 11
1

Prime factors of 539 are 7,11. Prime factorization of 539 in exponential form is:

539 = 72×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 539 and 546.

LCM(539,546) = 21×31×72×111×131
LCM(539,546) = 42042

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

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

Least Common Multiple of 539 and 546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 539 and 546, than apply into the LCM equation.

GCF(539,546) = 7
LCM(539,546) = ( 539 × 546) / 7
LCM(539,546) = 294294 / 7
LCM(539,546) = 42042

Properties of LCM 539 and 546

(i) The LCM of 546 and 539 is associative

LCM of 539 and 546 = LCM of 546 and 539

Related Least Common Multiples of 539

Related Least Common Multiples of 546

Frequently Asked Questions on LCM of 539 and 546

1. What is the LCM of 539 and 546?

Answer: LCM of 539 and 546 is 42042.

2. What are the Factors of 539?

Answer: Factors of 539 are 1, 7, 11, 49, 77, 539. There are 6 integers that are factors of 539. The greatest factor of 539 is 539.

3. 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.

4. How to Find the LCM of 539 and 546?

Answer:

Least Common Multiple of 539 and 546 = 42042

Step 1: Find the prime factorization of 539

539 = 7 x 7 x 11

Step 2: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

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

LCM = 42042 = 2 x 3 x 7 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 539 and 546 is 42042.