Least Common Multiple of 577 and 584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 577 and 584 the smallest integer that is 336968 that is divisible by both numbers.

Least Common Multiple (LCM) of 577 and 584 is 336968.

LCM(577,584) = 336968

LCM of 577 and 584

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

LCM of:
and

Least Common Multiple of 577 and 584

LCM of 577 and 584 is 336968

Least common multiple can be found by multiplying the highest exponent prime factors of 577 and 584. First we will calculate the prime factors of 577 and 584.

Prime Factorization of 577


577 577
1

Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:

577 = 5771

Prime Factorization of 584


2 584
2 292
2 146
73 73
1

Prime factors of 584 are 2,73. Prime factorization of 584 in exponential form is:

584 = 23×731

Now multiplying the highest exponent prime factors to calculate the LCM of 577 and 584.

LCM(577,584) = 23×731×5771
LCM(577,584) = 336968

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1, 577

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Least Common Multiple of 577 and 584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 577 and 584, than apply into the LCM equation.

GCF(577,584) = 1
LCM(577,584) = ( 577 × 584) / 1
LCM(577,584) = 336968 / 1
LCM(577,584) = 336968

Properties of LCM 577 and 584

(i) The LCM of 584 and 577 is associative

LCM of 577 and 584 = LCM of 584 and 577

Related Least Common Multiples of 577

Related Least Common Multiples of 584

Frequently Asked Questions on LCM of 577 and 584

1. What is the LCM of 577 and 584?

Answer: LCM of 577 and 584 is 336968.

2. What are the Factors of 577?

Answer: Factors of 577 are 1, 577. There are 2 integers that are factors of 577. The greatest factor of 577 is 577.

3. What are the Factors of 584?

Answer: Factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584. There are 8 integers that are factors of 584. The greatest factor of 584 is 584.

4. How to Find the LCM of 577 and 584?

Answer:

Least Common Multiple of 577 and 584 = 336968

Step 1: Find the prime factorization of 577

577 = 577

Step 2: Find the prime factorization of 584

584 = 2 x 2 x 2 x 73

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

LCM = 336968 = 2 x 2 x 2 x 73 x 577

Step 4: Therefore, the least common multiple of 577 and 584 is 336968.