Least Common Multiple of 535 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 535 and 541 the smallest integer that is 289435 that is divisible by both numbers.

Least Common Multiple (LCM) of 535 and 541 is 289435.

LCM(535,541) = 289435

LCM of 535 and 541

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

LCM of:
and

Least Common Multiple of 535 and 541

LCM of 535 and 541 is 289435

Least common multiple can be found by multiplying the highest exponent prime factors of 535 and 541. First we will calculate the prime factors of 535 and 541.

Prime Factorization of 535


5 535
107 107
1

Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:

535 = 51×1071

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 535 and 541.

LCM(535,541) = 51×1071×5411
LCM(535,541) = 289435

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Factors of 541

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

1, 541

Least Common Multiple of 535 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 535 and 541, than apply into the LCM equation.

GCF(535,541) = 1
LCM(535,541) = ( 535 × 541) / 1
LCM(535,541) = 289435 / 1
LCM(535,541) = 289435

Properties of LCM 535 and 541

(i) The LCM of 541 and 535 is associative

LCM of 535 and 541 = LCM of 541 and 535

Related Least Common Multiples of 535

Related Least Common Multiples of 541

Frequently Asked Questions on LCM of 535 and 541

1. What is the LCM of 535 and 541?

Answer: LCM of 535 and 541 is 289435.

2. What are the Factors of 535?

Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.

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 535 and 541?

Answer:

Least Common Multiple of 535 and 541 = 289435

Step 1: Find the prime factorization of 535

535 = 5 x 107

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 = 289435 = 5 x 107 x 541

Step 4: Therefore, the least common multiple of 535 and 541 is 289435.