Least Common Multiple of 9570 and 9578

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 9578 the smallest integer that is 45830730 that is divisible by both numbers.

Least Common Multiple (LCM) of 9570 and 9578 is 45830730.

LCM(9570,9578) = 45830730

LCM of 9570 and 9578

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

LCM of:
and

Least Common Multiple of 9570 and 9578

LCM of 9570 and 9578 is 45830730

Least common multiple can be found by multiplying the highest exponent prime factors of 9570 and 9578. First we will calculate the prime factors of 9570 and 9578.

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 9578


2 9578
4789 4789
1

Prime factors of 9578 are 2,4789. Prime factorization of 9578 in exponential form is:

9578 = 21×47891

Now multiplying the highest exponent prime factors to calculate the LCM of 9570 and 9578.

LCM(9570,9578) = 21×31×51×111×291×47891
LCM(9570,9578) = 45830730

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 9578

List of positive integer factors of 9578 that divides 9578 without a remainder.

1, 2, 4789, 9578

Least Common Multiple of 9570 and 9578 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 9578, than apply into the LCM equation.

GCF(9570,9578) = 2
LCM(9570,9578) = ( 9570 × 9578) / 2
LCM(9570,9578) = 91661460 / 2
LCM(9570,9578) = 45830730

Properties of LCM 9570 and 9578

(i) The LCM of 9578 and 9570 is associative

LCM of 9570 and 9578 = LCM of 9578 and 9570

Related Least Common Multiples of 9570

Related Least Common Multiples of 9578

Frequently Asked Questions on LCM of 9570 and 9578

1. What is the LCM of 9570 and 9578?

Answer: LCM of 9570 and 9578 is 45830730.

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 9578?

Answer: Factors of 9578 are 1, 2, 4789, 9578. There are 4 integers that are factors of 9578. The greatest factor of 9578 is 9578.

4. How to Find the LCM of 9570 and 9578?

Answer:

Least Common Multiple of 9570 and 9578 = 45830730

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 9578

9578 = 2 x 4789

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

LCM = 45830730 = 2 x 3 x 5 x 11 x 29 x 4789

Step 4: Therefore, the least common multiple of 9570 and 9578 is 45830730.