Least Common Multiple of 7577 and 7582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7577 and 7582 the smallest integer that is 57448814 that is divisible by both numbers.

Least Common Multiple (LCM) of 7577 and 7582 is 57448814.

LCM(7577,7582) = 57448814

LCM of 7577 and 7582

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

LCM of:
and

Least Common Multiple of 7577 and 7582

LCM of 7577 and 7582 is 57448814

Least common multiple can be found by multiplying the highest exponent prime factors of 7577 and 7582. First we will calculate the prime factors of 7577 and 7582.

Prime Factorization of 7577


7577 7577
1

Prime factors of 7577 are 7577. Prime factorization of 7577 in exponential form is:

7577 = 75771

Prime Factorization of 7582


2 7582
17 3791
223 223
1

Prime factors of 7582 are 2, 17,223. Prime factorization of 7582 in exponential form is:

7582 = 21×171×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 7577 and 7582.

LCM(7577,7582) = 21×171×2231×75771
LCM(7577,7582) = 57448814

Factors of 7577

List of positive integer factors of 7577 that divides 7577 without a remainder.

1, 7577

Factors of 7582

List of positive integer factors of 7582 that divides 7582 without a remainder.

1, 2, 17, 34, 223, 446, 3791, 7582

Least Common Multiple of 7577 and 7582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7577 and 7582, than apply into the LCM equation.

GCF(7577,7582) = 1
LCM(7577,7582) = ( 7577 × 7582) / 1
LCM(7577,7582) = 57448814 / 1
LCM(7577,7582) = 57448814

Properties of LCM 7577 and 7582

(i) The LCM of 7582 and 7577 is associative

LCM of 7577 and 7582 = LCM of 7582 and 7577

Related Least Common Multiples of 7577

Related Least Common Multiples of 7582

Frequently Asked Questions on LCM of 7577 and 7582

1. What is the LCM of 7577 and 7582?

Answer: LCM of 7577 and 7582 is 57448814.

2. What are the Factors of 7577?

Answer: Factors of 7577 are 1, 7577. There are 2 integers that are factors of 7577. The greatest factor of 7577 is 7577.

3. What are the Factors of 7582?

Answer: Factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582. There are 8 integers that are factors of 7582. The greatest factor of 7582 is 7582.

4. How to Find the LCM of 7577 and 7582?

Answer:

Least Common Multiple of 7577 and 7582 = 57448814

Step 1: Find the prime factorization of 7577

7577 = 7577

Step 2: Find the prime factorization of 7582

7582 = 2 x 17 x 223

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

LCM = 57448814 = 2 x 17 x 223 x 7577

Step 4: Therefore, the least common multiple of 7577 and 7582 is 57448814.