Least Common Multiple of 9574 and 9579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9574 and 9579 the smallest integer that is 91709346 that is divisible by both numbers.

Least Common Multiple (LCM) of 9574 and 9579 is 91709346.

LCM(9574,9579) = 91709346

LCM of 9574 and 9579

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

LCM of:
and

Least Common Multiple of 9574 and 9579

LCM of 9574 and 9579 is 91709346

Least common multiple can be found by multiplying the highest exponent prime factors of 9574 and 9579. First we will calculate the prime factors of 9574 and 9579.

Prime Factorization of 9574


2 9574
4787 4787
1

Prime factors of 9574 are 2,4787. Prime factorization of 9574 in exponential form is:

9574 = 21×47871

Prime Factorization of 9579


3 9579
31 3193
103 103
1

Prime factors of 9579 are 3, 31,103. Prime factorization of 9579 in exponential form is:

9579 = 31×311×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9574 and 9579.

LCM(9574,9579) = 21×31×311×1031×47871
LCM(9574,9579) = 91709346

Factors of 9574

List of positive integer factors of 9574 that divides 9574 without a remainder.

1, 2, 4787, 9574

Factors of 9579

List of positive integer factors of 9579 that divides 9579 without a remainder.

1, 3, 31, 93, 103, 309, 3193, 9579

Least Common Multiple of 9574 and 9579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9574 and 9579, than apply into the LCM equation.

GCF(9574,9579) = 1
LCM(9574,9579) = ( 9574 × 9579) / 1
LCM(9574,9579) = 91709346 / 1
LCM(9574,9579) = 91709346

Properties of LCM 9574 and 9579

(i) The LCM of 9579 and 9574 is associative

LCM of 9574 and 9579 = LCM of 9579 and 9574

Related Least Common Multiples of 9574

Related Least Common Multiples of 9579

Frequently Asked Questions on LCM of 9574 and 9579

1. What is the LCM of 9574 and 9579?

Answer: LCM of 9574 and 9579 is 91709346.

2. What are the Factors of 9574?

Answer: Factors of 9574 are 1, 2, 4787, 9574. There are 4 integers that are factors of 9574. The greatest factor of 9574 is 9574.

3. What are the Factors of 9579?

Answer: Factors of 9579 are 1, 3, 31, 93, 103, 309, 3193, 9579. There are 8 integers that are factors of 9579. The greatest factor of 9579 is 9579.

4. How to Find the LCM of 9574 and 9579?

Answer:

Least Common Multiple of 9574 and 9579 = 91709346

Step 1: Find the prime factorization of 9574

9574 = 2 x 4787

Step 2: Find the prime factorization of 9579

9579 = 3 x 31 x 103

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

LCM = 91709346 = 2 x 3 x 31 x 103 x 4787

Step 4: Therefore, the least common multiple of 9574 and 9579 is 91709346.