Least Common Multiple of 537 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 537 and 541 the smallest integer that is 290517 that is divisible by both numbers.

Least Common Multiple (LCM) of 537 and 541 is 290517.

LCM(537,541) = 290517

LCM of 537 and 541

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

LCM of:
and

Least Common Multiple of 537 and 541

LCM of 537 and 541 is 290517

Least common multiple can be found by multiplying the highest exponent prime factors of 537 and 541. First we will calculate the prime factors of 537 and 541.

Prime Factorization of 537


3 537
179 179
1

Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:

537 = 31×1791

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 537 and 541.

LCM(537,541) = 31×1791×5411
LCM(537,541) = 290517

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Factors of 541

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

1, 541

Least Common Multiple of 537 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 537 and 541, than apply into the LCM equation.

GCF(537,541) = 1
LCM(537,541) = ( 537 × 541) / 1
LCM(537,541) = 290517 / 1
LCM(537,541) = 290517

Properties of LCM 537 and 541

(i) The LCM of 541 and 537 is associative

LCM of 537 and 541 = LCM of 541 and 537

Related Least Common Multiples of 537

Related Least Common Multiples of 541

Frequently Asked Questions on LCM of 537 and 541

1. What is the LCM of 537 and 541?

Answer: LCM of 537 and 541 is 290517.

2. What are the Factors of 537?

Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.

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 537 and 541?

Answer:

Least Common Multiple of 537 and 541 = 290517

Step 1: Find the prime factorization of 537

537 = 3 x 179

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 = 290517 = 3 x 179 x 541

Step 4: Therefore, the least common multiple of 537 and 541 is 290517.