Least Common Multiple of 7577 and 7583

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 7583 the smallest integer that is 57456391 that is divisible by both numbers.

Least Common Multiple (LCM) of 7577 and 7583 is 57456391.

LCM(7577,7583) = 57456391

LCM of 7577 and 7583

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

LCM of:
and

Least Common Multiple of 7577 and 7583

LCM of 7577 and 7583 is 57456391

Least common multiple can be found by multiplying the highest exponent prime factors of 7577 and 7583. First we will calculate the prime factors of 7577 and 7583.

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 7583


7583 7583
1

Prime factors of 7583 are 7583. Prime factorization of 7583 in exponential form is:

7583 = 75831

Now multiplying the highest exponent prime factors to calculate the LCM of 7577 and 7583.

LCM(7577,7583) = 75771×75831
LCM(7577,7583) = 57456391

Factors of 7577

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

1, 7577

Factors of 7583

List of positive integer factors of 7583 that divides 7583 without a remainder.

1, 7583

Least Common Multiple of 7577 and 7583 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 7583, than apply into the LCM equation.

GCF(7577,7583) = 1
LCM(7577,7583) = ( 7577 × 7583) / 1
LCM(7577,7583) = 57456391 / 1
LCM(7577,7583) = 57456391

Properties of LCM 7577 and 7583

(i) The LCM of 7583 and 7577 is associative

LCM of 7577 and 7583 = LCM of 7583 and 7577

Related Least Common Multiples of 7577

Related Least Common Multiples of 7583

Frequently Asked Questions on LCM of 7577 and 7583

1. What is the LCM of 7577 and 7583?

Answer: LCM of 7577 and 7583 is 57456391.

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 7583?

Answer: Factors of 7583 are 1, 7583. There are 2 integers that are factors of 7583. The greatest factor of 7583 is 7583.

4. How to Find the LCM of 7577 and 7583?

Answer:

Least Common Multiple of 7577 and 7583 = 57456391

Step 1: Find the prime factorization of 7577

7577 = 7577

Step 2: Find the prime factorization of 7583

7583 = 7583

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

LCM = 57456391 = 7577 x 7583

Step 4: Therefore, the least common multiple of 7577 and 7583 is 57456391.