Least Common Multiple of 7575 and 7581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7575 and 7581 the smallest integer that is 19142025 that is divisible by both numbers.

Least Common Multiple (LCM) of 7575 and 7581 is 19142025.

LCM(7575,7581) = 19142025

LCM of 7575 and 7581

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

LCM of:
and

Least Common Multiple of 7575 and 7581

LCM of 7575 and 7581 is 19142025

Least common multiple can be found by multiplying the highest exponent prime factors of 7575 and 7581. First we will calculate the prime factors of 7575 and 7581.

Prime Factorization of 7575


3 7575
5 2525
5 505
101 101
1

Prime factors of 7575 are 3, 5,101. Prime factorization of 7575 in exponential form is:

7575 = 31×52×1011

Prime Factorization of 7581


3 7581
7 2527
19 361
19 19
1

Prime factors of 7581 are 3, 7,19. Prime factorization of 7581 in exponential form is:

7581 = 31×71×192

Now multiplying the highest exponent prime factors to calculate the LCM of 7575 and 7581.

LCM(7575,7581) = 31×52×71×192×1011
LCM(7575,7581) = 19142025

Factors of 7575

List of positive integer factors of 7575 that divides 7575 without a remainder.

1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525, 7575

Factors of 7581

List of positive integer factors of 7581 that divides 7581 without a remainder.

1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581

Least Common Multiple of 7575 and 7581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7575 and 7581, than apply into the LCM equation.

GCF(7575,7581) = 3
LCM(7575,7581) = ( 7575 × 7581) / 3
LCM(7575,7581) = 57426075 / 3
LCM(7575,7581) = 19142025

Properties of LCM 7575 and 7581

(i) The LCM of 7581 and 7575 is associative

LCM of 7575 and 7581 = LCM of 7581 and 7575

Related Least Common Multiples of 7575

Related Least Common Multiples of 7581

Frequently Asked Questions on LCM of 7575 and 7581

1. What is the LCM of 7575 and 7581?

Answer: LCM of 7575 and 7581 is 19142025.

2. What are the Factors of 7575?

Answer: Factors of 7575 are 1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525, 7575. There are 12 integers that are factors of 7575. The greatest factor of 7575 is 7575.

3. What are the Factors of 7581?

Answer: Factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581. There are 12 integers that are factors of 7581. The greatest factor of 7581 is 7581.

4. How to Find the LCM of 7575 and 7581?

Answer:

Least Common Multiple of 7575 and 7581 = 19142025

Step 1: Find the prime factorization of 7575

7575 = 3 x 5 x 5 x 101

Step 2: Find the prime factorization of 7581

7581 = 3 x 7 x 19 x 19

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

LCM = 19142025 = 3 x 5 x 5 x 7 x 19 x 19 x 101

Step 4: Therefore, the least common multiple of 7575 and 7581 is 19142025.