Least Common Multiple of 9578 and 9584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9578 and 9584 the smallest integer that is 45897776 that is divisible by both numbers.

Least Common Multiple (LCM) of 9578 and 9584 is 45897776.

LCM(9578,9584) = 45897776

LCM of 9578 and 9584

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

LCM of:
and

Least Common Multiple of 9578 and 9584

LCM of 9578 and 9584 is 45897776

Least common multiple can be found by multiplying the highest exponent prime factors of 9578 and 9584. First we will calculate the prime factors of 9578 and 9584.

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

Prime Factorization of 9584


2 9584
2 4792
2 2396
2 1198
599 599
1

Prime factors of 9584 are 2,599. Prime factorization of 9584 in exponential form is:

9584 = 24×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 9578 and 9584.

LCM(9578,9584) = 24×5991×47891
LCM(9578,9584) = 45897776

Factors of 9578

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

1, 2, 4789, 9578

Factors of 9584

List of positive integer factors of 9584 that divides 9584 without a remainder.

1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584

Least Common Multiple of 9578 and 9584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9578 and 9584, than apply into the LCM equation.

GCF(9578,9584) = 2
LCM(9578,9584) = ( 9578 × 9584) / 2
LCM(9578,9584) = 91795552 / 2
LCM(9578,9584) = 45897776

Properties of LCM 9578 and 9584

(i) The LCM of 9584 and 9578 is associative

LCM of 9578 and 9584 = LCM of 9584 and 9578

Related Least Common Multiples of 9578

Related Least Common Multiples of 9584

Frequently Asked Questions on LCM of 9578 and 9584

1. What is the LCM of 9578 and 9584?

Answer: LCM of 9578 and 9584 is 45897776.

2. 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.

3. What are the Factors of 9584?

Answer: Factors of 9584 are 1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584. There are 10 integers that are factors of 9584. The greatest factor of 9584 is 9584.

4. How to Find the LCM of 9578 and 9584?

Answer:

Least Common Multiple of 9578 and 9584 = 45897776

Step 1: Find the prime factorization of 9578

9578 = 2 x 4789

Step 2: Find the prime factorization of 9584

9584 = 2 x 2 x 2 x 2 x 599

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

LCM = 45897776 = 2 x 2 x 2 x 2 x 599 x 4789

Step 4: Therefore, the least common multiple of 9578 and 9584 is 45897776.