Least Common Multiple of 1533 and 1541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1533 and 1541 the smallest integer that is 2362353 that is divisible by both numbers.

Least Common Multiple (LCM) of 1533 and 1541 is 2362353.

LCM(1533,1541) = 2362353

LCM of 1533 and 1541

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

LCM of:
and

Least Common Multiple of 1533 and 1541

LCM of 1533 and 1541 is 2362353

Least common multiple can be found by multiplying the highest exponent prime factors of 1533 and 1541. First we will calculate the prime factors of 1533 and 1541.

Prime Factorization of 1533


3 1533
7 511
73 73
1

Prime factors of 1533 are 3, 7,73. Prime factorization of 1533 in exponential form is:

1533 = 31×71×731

Prime Factorization of 1541


23 1541
67 67
1

Prime factors of 1541 are 23,67. Prime factorization of 1541 in exponential form is:

1541 = 231×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1533 and 1541.

LCM(1533,1541) = 31×71×231×671×731
LCM(1533,1541) = 2362353

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1, 3, 7, 21, 73, 219, 511, 1533

Factors of 1541

List of positive integer factors of 1541 that divides 1541 without a remainder.

1, 23, 67, 1541

Least Common Multiple of 1533 and 1541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1533 and 1541, than apply into the LCM equation.

GCF(1533,1541) = 1
LCM(1533,1541) = ( 1533 × 1541) / 1
LCM(1533,1541) = 2362353 / 1
LCM(1533,1541) = 2362353

Properties of LCM 1533 and 1541

(i) The LCM of 1541 and 1533 is associative

LCM of 1533 and 1541 = LCM of 1541 and 1533

Related Least Common Multiples of 1533

Related Least Common Multiples of 1541

Frequently Asked Questions on LCM of 1533 and 1541

1. What is the LCM of 1533 and 1541?

Answer: LCM of 1533 and 1541 is 2362353.

2. What are the Factors of 1533?

Answer: Factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533. There are 8 integers that are factors of 1533. The greatest factor of 1533 is 1533.

3. What are the Factors of 1541?

Answer: Factors of 1541 are 1, 23, 67, 1541. There are 4 integers that are factors of 1541. The greatest factor of 1541 is 1541.

4. How to Find the LCM of 1533 and 1541?

Answer:

Least Common Multiple of 1533 and 1541 = 2362353

Step 1: Find the prime factorization of 1533

1533 = 3 x 7 x 73

Step 2: Find the prime factorization of 1541

1541 = 23 x 67

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

LCM = 2362353 = 3 x 7 x 23 x 67 x 73

Step 4: Therefore, the least common multiple of 1533 and 1541 is 2362353.