Least Common Multiple of 539 and 541

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 541 the smallest integer that is 291599 that is divisible by both numbers.

Least Common Multiple (LCM) of 539 and 541 is 291599.

LCM(539,541) = 291599

LCM of 539 and 541

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

LCM of:
and

Least Common Multiple of 539 and 541

LCM of 539 and 541 is 291599

Least common multiple can be found by multiplying the highest exponent prime factors of 539 and 541. First we will calculate the prime factors of 539 and 541.

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 541


541 541
1

Prime factors of 541 are 541. Prime factorization of 541 in exponential form is:

541 = 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 539 and 541.

LCM(539,541) = 72×111×5411
LCM(539,541) = 291599

Factors of 539

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

1, 7, 11, 49, 77, 539

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1, 541

Least Common Multiple of 539 and 541 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 541, than apply into the LCM equation.

GCF(539,541) = 1
LCM(539,541) = ( 539 × 541) / 1
LCM(539,541) = 291599 / 1
LCM(539,541) = 291599

Properties of LCM 539 and 541

(i) The LCM of 541 and 539 is associative

LCM of 539 and 541 = LCM of 541 and 539

Related Least Common Multiples of 539

Related Least Common Multiples of 541

Frequently Asked Questions on LCM of 539 and 541

1. What is the LCM of 539 and 541?

Answer: LCM of 539 and 541 is 291599.

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 541?

Answer: Factors of 541 are 1, 541. There are 2 integers that are factors of 541. The greatest factor of 541 is 541.

4. How to Find the LCM of 539 and 541?

Answer:

Least Common Multiple of 539 and 541 = 291599

Step 1: Find the prime factorization of 539

539 = 7 x 7 x 11

Step 2: Find the prime factorization of 541

541 = 541

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

LCM = 291599 = 7 x 7 x 11 x 541

Step 4: Therefore, the least common multiple of 539 and 541 is 291599.