Least Common Multiple of 9570 and 9575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9570 and 9575 the smallest integer that is 18326550 that is divisible by both numbers.

Least Common Multiple (LCM) of 9570 and 9575 is 18326550.

LCM(9570,9575) = 18326550

LCM of 9570 and 9575

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

LCM of:
and

Least Common Multiple of 9570 and 9575

LCM of 9570 and 9575 is 18326550

Least common multiple can be found by multiplying the highest exponent prime factors of 9570 and 9575. First we will calculate the prime factors of 9570 and 9575.

Prime Factorization of 9570


2 9570
3 4785
5 1595
11 319
29 29
1

Prime factors of 9570 are 2, 3, 5, 11,29. Prime factorization of 9570 in exponential form is:

9570 = 21×31×51×111×291

Prime Factorization of 9575


5 9575
5 1915
383 383
1

Prime factors of 9575 are 5,383. Prime factorization of 9575 in exponential form is:

9575 = 52×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 9570 and 9575.

LCM(9570,9575) = 21×31×52×111×291×3831
LCM(9570,9575) = 18326550

Factors of 9570

List of positive integer factors of 9570 that divides 9570 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570

Factors of 9575

List of positive integer factors of 9575 that divides 9575 without a remainder.

1, 5, 25, 383, 1915, 9575

Least Common Multiple of 9570 and 9575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9570 and 9575, than apply into the LCM equation.

GCF(9570,9575) = 5
LCM(9570,9575) = ( 9570 × 9575) / 5
LCM(9570,9575) = 91632750 / 5
LCM(9570,9575) = 18326550

Properties of LCM 9570 and 9575

(i) The LCM of 9575 and 9570 is associative

LCM of 9570 and 9575 = LCM of 9575 and 9570

Related Least Common Multiples of 9570

Related Least Common Multiples of 9575

Frequently Asked Questions on LCM of 9570 and 9575

1. What is the LCM of 9570 and 9575?

Answer: LCM of 9570 and 9575 is 18326550.

2. What are the Factors of 9570?

Answer: Factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570. There are 32 integers that are factors of 9570. The greatest factor of 9570 is 9570.

3. What are the Factors of 9575?

Answer: Factors of 9575 are 1, 5, 25, 383, 1915, 9575. There are 6 integers that are factors of 9575. The greatest factor of 9575 is 9575.

4. How to Find the LCM of 9570 and 9575?

Answer:

Least Common Multiple of 9570 and 9575 = 18326550

Step 1: Find the prime factorization of 9570

9570 = 2 x 3 x 5 x 11 x 29

Step 2: Find the prime factorization of 9575

9575 = 5 x 5 x 383

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

LCM = 18326550 = 2 x 3 x 5 x 5 x 11 x 29 x 383

Step 4: Therefore, the least common multiple of 9570 and 9575 is 18326550.