Least Common Multiple of 1525 and 1533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1525 and 1533 the smallest integer that is 2337825 that is divisible by both numbers.

Least Common Multiple (LCM) of 1525 and 1533 is 2337825.

LCM(1525,1533) = 2337825

LCM of 1525 and 1533

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

LCM of:
and

Least Common Multiple of 1525 and 1533

LCM of 1525 and 1533 is 2337825

Least common multiple can be found by multiplying the highest exponent prime factors of 1525 and 1533. First we will calculate the prime factors of 1525 and 1533.

Prime Factorization of 1525


5 1525
5 305
61 61
1

Prime factors of 1525 are 5,61. Prime factorization of 1525 in exponential form is:

1525 = 52×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1525 and 1533.

LCM(1525,1533) = 31×52×71×611×731
LCM(1525,1533) = 2337825

Factors of 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1, 5, 25, 61, 305, 1525

Factors of 1533

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

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

Least Common Multiple of 1525 and 1533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1525 and 1533, than apply into the LCM equation.

GCF(1525,1533) = 1
LCM(1525,1533) = ( 1525 × 1533) / 1
LCM(1525,1533) = 2337825 / 1
LCM(1525,1533) = 2337825

Properties of LCM 1525 and 1533

(i) The LCM of 1533 and 1525 is associative

LCM of 1525 and 1533 = LCM of 1533 and 1525

Related Least Common Multiples of 1525

Related Least Common Multiples of 1533

Frequently Asked Questions on LCM of 1525 and 1533

1. What is the LCM of 1525 and 1533?

Answer: LCM of 1525 and 1533 is 2337825.

2. What are the Factors of 1525?

Answer: Factors of 1525 are 1, 5, 25, 61, 305, 1525. There are 6 integers that are factors of 1525. The greatest factor of 1525 is 1525.

3. 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.

4. How to Find the LCM of 1525 and 1533?

Answer:

Least Common Multiple of 1525 and 1533 = 2337825

Step 1: Find the prime factorization of 1525

1525 = 5 x 5 x 61

Step 2: Find the prime factorization of 1533

1533 = 3 x 7 x 73

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

LCM = 2337825 = 3 x 5 x 5 x 7 x 61 x 73

Step 4: Therefore, the least common multiple of 1525 and 1533 is 2337825.