Least Common Multiple of 2577 and 2584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2577 and 2584 the smallest integer that is 6658968 that is divisible by both numbers.

Least Common Multiple (LCM) of 2577 and 2584 is 6658968.

LCM(2577,2584) = 6658968

LCM of 2577 and 2584

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

LCM of:
and

Least Common Multiple of 2577 and 2584

LCM of 2577 and 2584 is 6658968

Least common multiple can be found by multiplying the highest exponent prime factors of 2577 and 2584. First we will calculate the prime factors of 2577 and 2584.

Prime Factorization of 2577


3 2577
859 859
1

Prime factors of 2577 are 3,859. Prime factorization of 2577 in exponential form is:

2577 = 31×8591

Prime Factorization of 2584


2 2584
2 1292
2 646
17 323
19 19
1

Prime factors of 2584 are 2, 17,19. Prime factorization of 2584 in exponential form is:

2584 = 23×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2577 and 2584.

LCM(2577,2584) = 23×31×171×191×8591
LCM(2577,2584) = 6658968

Factors of 2577

List of positive integer factors of 2577 that divides 2577 without a remainder.

1, 3, 859, 2577

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584

Least Common Multiple of 2577 and 2584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2577 and 2584, than apply into the LCM equation.

GCF(2577,2584) = 1
LCM(2577,2584) = ( 2577 × 2584) / 1
LCM(2577,2584) = 6658968 / 1
LCM(2577,2584) = 6658968

Properties of LCM 2577 and 2584

(i) The LCM of 2584 and 2577 is associative

LCM of 2577 and 2584 = LCM of 2584 and 2577

Related Least Common Multiples of 2577

Related Least Common Multiples of 2584

Frequently Asked Questions on LCM of 2577 and 2584

1. What is the LCM of 2577 and 2584?

Answer: LCM of 2577 and 2584 is 6658968.

2. What are the Factors of 2577?

Answer: Factors of 2577 are 1, 3, 859, 2577. There are 4 integers that are factors of 2577. The greatest factor of 2577 is 2577.

3. What are the Factors of 2584?

Answer: Factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584. There are 16 integers that are factors of 2584. The greatest factor of 2584 is 2584.

4. How to Find the LCM of 2577 and 2584?

Answer:

Least Common Multiple of 2577 and 2584 = 6658968

Step 1: Find the prime factorization of 2577

2577 = 3 x 859

Step 2: Find the prime factorization of 2584

2584 = 2 x 2 x 2 x 17 x 19

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

LCM = 6658968 = 2 x 2 x 2 x 3 x 17 x 19 x 859

Step 4: Therefore, the least common multiple of 2577 and 2584 is 6658968.