Least Common Multiple of 7575 and 7580

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 7580 the smallest integer that is 11483700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7575 and 7580 is 11483700.

LCM(7575,7580) = 11483700

LCM of 7575 and 7580

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

LCM of:
and

Least Common Multiple of 7575 and 7580

LCM of 7575 and 7580 is 11483700

Least common multiple can be found by multiplying the highest exponent prime factors of 7575 and 7580. First we will calculate the prime factors of 7575 and 7580.

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 7580


2 7580
2 3790
5 1895
379 379
1

Prime factors of 7580 are 2, 5,379. Prime factorization of 7580 in exponential form is:

7580 = 22×51×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 7575 and 7580.

LCM(7575,7580) = 22×31×52×1011×3791
LCM(7575,7580) = 11483700

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 7580

List of positive integer factors of 7580 that divides 7580 without a remainder.

1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580

Least Common Multiple of 7575 and 7580 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 7580, than apply into the LCM equation.

GCF(7575,7580) = 5
LCM(7575,7580) = ( 7575 × 7580) / 5
LCM(7575,7580) = 57418500 / 5
LCM(7575,7580) = 11483700

Properties of LCM 7575 and 7580

(i) The LCM of 7580 and 7575 is associative

LCM of 7575 and 7580 = LCM of 7580 and 7575

Related Least Common Multiples of 7575

Related Least Common Multiples of 7580

Frequently Asked Questions on LCM of 7575 and 7580

1. What is the LCM of 7575 and 7580?

Answer: LCM of 7575 and 7580 is 11483700.

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 7580?

Answer: Factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580. There are 12 integers that are factors of 7580. The greatest factor of 7580 is 7580.

4. How to Find the LCM of 7575 and 7580?

Answer:

Least Common Multiple of 7575 and 7580 = 11483700

Step 1: Find the prime factorization of 7575

7575 = 3 x 5 x 5 x 101

Step 2: Find the prime factorization of 7580

7580 = 2 x 2 x 5 x 379

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

LCM = 11483700 = 2 x 2 x 3 x 5 x 5 x 101 x 379

Step 4: Therefore, the least common multiple of 7575 and 7580 is 11483700.