Least Common Multiple of 1525 and 1527

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 1527 the smallest integer that is 2328675 that is divisible by both numbers.

Least Common Multiple (LCM) of 1525 and 1527 is 2328675.

LCM(1525,1527) = 2328675

LCM of 1525 and 1527

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

LCM of:
and

Least Common Multiple of 1525 and 1527

LCM of 1525 and 1527 is 2328675

Least common multiple can be found by multiplying the highest exponent prime factors of 1525 and 1527. First we will calculate the prime factors of 1525 and 1527.

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 1527


3 1527
509 509
1

Prime factors of 1527 are 3,509. Prime factorization of 1527 in exponential form is:

1527 = 31×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 1525 and 1527.

LCM(1525,1527) = 31×52×611×5091
LCM(1525,1527) = 2328675

Factors of 1525

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

1, 5, 25, 61, 305, 1525

Factors of 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1, 3, 509, 1527

Least Common Multiple of 1525 and 1527 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 1527, than apply into the LCM equation.

GCF(1525,1527) = 1
LCM(1525,1527) = ( 1525 × 1527) / 1
LCM(1525,1527) = 2328675 / 1
LCM(1525,1527) = 2328675

Properties of LCM 1525 and 1527

(i) The LCM of 1527 and 1525 is associative

LCM of 1525 and 1527 = LCM of 1527 and 1525

Related Least Common Multiples of 1525

Related Least Common Multiples of 1527

Frequently Asked Questions on LCM of 1525 and 1527

1. What is the LCM of 1525 and 1527?

Answer: LCM of 1525 and 1527 is 2328675.

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 1527?

Answer: Factors of 1527 are 1, 3, 509, 1527. There are 4 integers that are factors of 1527. The greatest factor of 1527 is 1527.

4. How to Find the LCM of 1525 and 1527?

Answer:

Least Common Multiple of 1525 and 1527 = 2328675

Step 1: Find the prime factorization of 1525

1525 = 5 x 5 x 61

Step 2: Find the prime factorization of 1527

1527 = 3 x 509

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

LCM = 2328675 = 3 x 5 x 5 x 61 x 509

Step 4: Therefore, the least common multiple of 1525 and 1527 is 2328675.