Least Common Multiple of 9572 and 9577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9572 and 9577 the smallest integer that is 91671044 that is divisible by both numbers.

Least Common Multiple (LCM) of 9572 and 9577 is 91671044.

LCM(9572,9577) = 91671044

LCM of 9572 and 9577

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

LCM of:
and

Least Common Multiple of 9572 and 9577

LCM of 9572 and 9577 is 91671044

Least common multiple can be found by multiplying the highest exponent prime factors of 9572 and 9577. First we will calculate the prime factors of 9572 and 9577.

Prime Factorization of 9572


2 9572
2 4786
2393 2393
1

Prime factors of 9572 are 2,2393. Prime factorization of 9572 in exponential form is:

9572 = 22×23931

Prime Factorization of 9577


61 9577
157 157
1

Prime factors of 9577 are 61,157. Prime factorization of 9577 in exponential form is:

9577 = 611×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 9572 and 9577.

LCM(9572,9577) = 22×611×1571×23931
LCM(9572,9577) = 91671044

Factors of 9572

List of positive integer factors of 9572 that divides 9572 without a remainder.

1, 2, 4, 2393, 4786, 9572

Factors of 9577

List of positive integer factors of 9577 that divides 9577 without a remainder.

1, 61, 157, 9577

Least Common Multiple of 9572 and 9577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9572 and 9577, than apply into the LCM equation.

GCF(9572,9577) = 1
LCM(9572,9577) = ( 9572 × 9577) / 1
LCM(9572,9577) = 91671044 / 1
LCM(9572,9577) = 91671044

Properties of LCM 9572 and 9577

(i) The LCM of 9577 and 9572 is associative

LCM of 9572 and 9577 = LCM of 9577 and 9572

Related Least Common Multiples of 9572

Related Least Common Multiples of 9577

Frequently Asked Questions on LCM of 9572 and 9577

1. What is the LCM of 9572 and 9577?

Answer: LCM of 9572 and 9577 is 91671044.

2. What are the Factors of 9572?

Answer: Factors of 9572 are 1, 2, 4, 2393, 4786, 9572. There are 6 integers that are factors of 9572. The greatest factor of 9572 is 9572.

3. What are the Factors of 9577?

Answer: Factors of 9577 are 1, 61, 157, 9577. There are 4 integers that are factors of 9577. The greatest factor of 9577 is 9577.

4. How to Find the LCM of 9572 and 9577?

Answer:

Least Common Multiple of 9572 and 9577 = 91671044

Step 1: Find the prime factorization of 9572

9572 = 2 x 2 x 2393

Step 2: Find the prime factorization of 9577

9577 = 61 x 157

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

LCM = 91671044 = 2 x 2 x 61 x 157 x 2393

Step 4: Therefore, the least common multiple of 9572 and 9577 is 91671044.