Least Common Multiple of 536 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 536 and 541 the smallest integer that is 289976 that is divisible by both numbers.

Least Common Multiple (LCM) of 536 and 541 is 289976.

LCM(536,541) = 289976

LCM of 536 and 541

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

LCM of:
and

Least Common Multiple of 536 and 541

LCM of 536 and 541 is 289976

Least common multiple can be found by multiplying the highest exponent prime factors of 536 and 541. First we will calculate the prime factors of 536 and 541.

Prime Factorization of 536


2 536
2 268
2 134
67 67
1

Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:

536 = 23×671

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 536 and 541.

LCM(536,541) = 23×671×5411
LCM(536,541) = 289976

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Factors of 541

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

1, 541

Least Common Multiple of 536 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 536 and 541, than apply into the LCM equation.

GCF(536,541) = 1
LCM(536,541) = ( 536 × 541) / 1
LCM(536,541) = 289976 / 1
LCM(536,541) = 289976

Properties of LCM 536 and 541

(i) The LCM of 541 and 536 is associative

LCM of 536 and 541 = LCM of 541 and 536

Related Least Common Multiples of 536

Related Least Common Multiples of 541

Frequently Asked Questions on LCM of 536 and 541

1. What is the LCM of 536 and 541?

Answer: LCM of 536 and 541 is 289976.

2. What are the Factors of 536?

Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.

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 536 and 541?

Answer:

Least Common Multiple of 536 and 541 = 289976

Step 1: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

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 = 289976 = 2 x 2 x 2 x 67 x 541

Step 4: Therefore, the least common multiple of 536 and 541 is 289976.