Least Common Multiple of 1519 and 1525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1519 and 1525 the smallest integer that is 2316475 that is divisible by both numbers.

Least Common Multiple (LCM) of 1519 and 1525 is 2316475.

LCM(1519,1525) = 2316475

LCM of 1519 and 1525

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

LCM of:
and

Least Common Multiple of 1519 and 1525

LCM of 1519 and 1525 is 2316475

Least common multiple can be found by multiplying the highest exponent prime factors of 1519 and 1525. First we will calculate the prime factors of 1519 and 1525.

Prime Factorization of 1519


7 1519
7 217
31 31
1

Prime factors of 1519 are 7,31. Prime factorization of 1519 in exponential form is:

1519 = 72×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1519 and 1525.

LCM(1519,1525) = 52×72×311×611
LCM(1519,1525) = 2316475

Factors of 1519

List of positive integer factors of 1519 that divides 1519 without a remainder.

1, 7, 31, 49, 217, 1519

Factors of 1525

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

1, 5, 25, 61, 305, 1525

Least Common Multiple of 1519 and 1525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1519 and 1525, than apply into the LCM equation.

GCF(1519,1525) = 1
LCM(1519,1525) = ( 1519 × 1525) / 1
LCM(1519,1525) = 2316475 / 1
LCM(1519,1525) = 2316475

Properties of LCM 1519 and 1525

(i) The LCM of 1525 and 1519 is associative

LCM of 1519 and 1525 = LCM of 1525 and 1519

Related Least Common Multiples of 1519

Related Least Common Multiples of 1525

Frequently Asked Questions on LCM of 1519 and 1525

1. What is the LCM of 1519 and 1525?

Answer: LCM of 1519 and 1525 is 2316475.

2. What are the Factors of 1519?

Answer: Factors of 1519 are 1, 7, 31, 49, 217, 1519. There are 6 integers that are factors of 1519. The greatest factor of 1519 is 1519.

3. 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.

4. How to Find the LCM of 1519 and 1525?

Answer:

Least Common Multiple of 1519 and 1525 = 2316475

Step 1: Find the prime factorization of 1519

1519 = 7 x 7 x 31

Step 2: Find the prime factorization of 1525

1525 = 5 x 5 x 61

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

LCM = 2316475 = 5 x 5 x 7 x 7 x 31 x 61

Step 4: Therefore, the least common multiple of 1519 and 1525 is 2316475.