Least Common Multiple of 1525 and 1530

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 1530 the smallest integer that is 466650 that is divisible by both numbers.

Least Common Multiple (LCM) of 1525 and 1530 is 466650.

LCM(1525,1530) = 466650

LCM of 1525 and 1530

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

LCM of:
and

Least Common Multiple of 1525 and 1530

LCM of 1525 and 1530 is 466650

Least common multiple can be found by multiplying the highest exponent prime factors of 1525 and 1530. First we will calculate the prime factors of 1525 and 1530.

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 1530


2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 1530 are 2, 3, 5,17. Prime factorization of 1530 in exponential form is:

1530 = 21×32×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1525 and 1530.

LCM(1525,1530) = 21×32×52×171×611
LCM(1525,1530) = 466650

Factors of 1525

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

1, 5, 25, 61, 305, 1525

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530

Least Common Multiple of 1525 and 1530 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 1530, than apply into the LCM equation.

GCF(1525,1530) = 5
LCM(1525,1530) = ( 1525 × 1530) / 5
LCM(1525,1530) = 2333250 / 5
LCM(1525,1530) = 466650

Properties of LCM 1525 and 1530

(i) The LCM of 1530 and 1525 is associative

LCM of 1525 and 1530 = LCM of 1530 and 1525

Related Least Common Multiples of 1525

Related Least Common Multiples of 1530

Frequently Asked Questions on LCM of 1525 and 1530

1. What is the LCM of 1525 and 1530?

Answer: LCM of 1525 and 1530 is 466650.

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 1530?

Answer: Factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530. There are 24 integers that are factors of 1530. The greatest factor of 1530 is 1530.

4. How to Find the LCM of 1525 and 1530?

Answer:

Least Common Multiple of 1525 and 1530 = 466650

Step 1: Find the prime factorization of 1525

1525 = 5 x 5 x 61

Step 2: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 x 17

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

LCM = 466650 = 2 x 3 x 3 x 5 x 5 x 17 x 61

Step 4: Therefore, the least common multiple of 1525 and 1530 is 466650.