Least Common Multiple of 7539 and 7545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7539 and 7545 the smallest integer that is 18960585 that is divisible by both numbers.

Least Common Multiple (LCM) of 7539 and 7545 is 18960585.

LCM(7539,7545) = 18960585

LCM of 7539 and 7545

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

LCM of:
and

Least Common Multiple of 7539 and 7545

LCM of 7539 and 7545 is 18960585

Least common multiple can be found by multiplying the highest exponent prime factors of 7539 and 7545. First we will calculate the prime factors of 7539 and 7545.

Prime Factorization of 7539


3 7539
7 2513
359 359
1

Prime factors of 7539 are 3, 7,359. Prime factorization of 7539 in exponential form is:

7539 = 31×71×3591

Prime Factorization of 7545


3 7545
5 2515
503 503
1

Prime factors of 7545 are 3, 5,503. Prime factorization of 7545 in exponential form is:

7545 = 31×51×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 7539 and 7545.

LCM(7539,7545) = 31×51×71×3591×5031
LCM(7539,7545) = 18960585

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1, 3, 7, 21, 359, 1077, 2513, 7539

Factors of 7545

List of positive integer factors of 7545 that divides 7545 without a remainder.

1, 3, 5, 15, 503, 1509, 2515, 7545

Least Common Multiple of 7539 and 7545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7539 and 7545, than apply into the LCM equation.

GCF(7539,7545) = 3
LCM(7539,7545) = ( 7539 × 7545) / 3
LCM(7539,7545) = 56881755 / 3
LCM(7539,7545) = 18960585

Properties of LCM 7539 and 7545

(i) The LCM of 7545 and 7539 is associative

LCM of 7539 and 7545 = LCM of 7545 and 7539

Related Least Common Multiples of 7539

Related Least Common Multiples of 7545

Frequently Asked Questions on LCM of 7539 and 7545

1. What is the LCM of 7539 and 7545?

Answer: LCM of 7539 and 7545 is 18960585.

2. What are the Factors of 7539?

Answer: Factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539. There are 8 integers that are factors of 7539. The greatest factor of 7539 is 7539.

3. What are the Factors of 7545?

Answer: Factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545. There are 8 integers that are factors of 7545. The greatest factor of 7545 is 7545.

4. How to Find the LCM of 7539 and 7545?

Answer:

Least Common Multiple of 7539 and 7545 = 18960585

Step 1: Find the prime factorization of 7539

7539 = 3 x 7 x 359

Step 2: Find the prime factorization of 7545

7545 = 3 x 5 x 503

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

LCM = 18960585 = 3 x 5 x 7 x 359 x 503

Step 4: Therefore, the least common multiple of 7539 and 7545 is 18960585.