Least Common Multiple of 534 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 534 and 541 the smallest integer that is 288894 that is divisible by both numbers.

Least Common Multiple (LCM) of 534 and 541 is 288894.

LCM(534,541) = 288894

LCM of 534 and 541

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

LCM of:
and

Least Common Multiple of 534 and 541

LCM of 534 and 541 is 288894

Least common multiple can be found by multiplying the highest exponent prime factors of 534 and 541. First we will calculate the prime factors of 534 and 541.

Prime Factorization of 534


2 534
3 267
89 89
1

Prime factors of 534 are 2, 3,89. Prime factorization of 534 in exponential form is:

534 = 21×31×891

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 534 and 541.

LCM(534,541) = 21×31×891×5411
LCM(534,541) = 288894

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Factors of 541

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

1, 541

Least Common Multiple of 534 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 534 and 541, than apply into the LCM equation.

GCF(534,541) = 1
LCM(534,541) = ( 534 × 541) / 1
LCM(534,541) = 288894 / 1
LCM(534,541) = 288894

Properties of LCM 534 and 541

(i) The LCM of 541 and 534 is associative

LCM of 534 and 541 = LCM of 541 and 534

Related Least Common Multiples of 534

Related Least Common Multiples of 541

Frequently Asked Questions on LCM of 534 and 541

1. What is the LCM of 534 and 541?

Answer: LCM of 534 and 541 is 288894.

2. What are the Factors of 534?

Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.

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 534 and 541?

Answer:

Least Common Multiple of 534 and 541 = 288894

Step 1: Find the prime factorization of 534

534 = 2 x 3 x 89

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 = 288894 = 2 x 3 x 89 x 541

Step 4: Therefore, the least common multiple of 534 and 541 is 288894.