Least Common Multiple of 8588 and 8593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8588 and 8593 the smallest integer that is 73796684 that is divisible by both numbers.

Least Common Multiple (LCM) of 8588 and 8593 is 73796684.

LCM(8588,8593) = 73796684

LCM of 8588 and 8593

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

LCM of:
and

Least Common Multiple of 8588 and 8593

LCM of 8588 and 8593 is 73796684

Least common multiple can be found by multiplying the highest exponent prime factors of 8588 and 8593. First we will calculate the prime factors of 8588 and 8593.

Prime Factorization of 8588


2 8588
2 4294
19 2147
113 113
1

Prime factors of 8588 are 2, 19,113. Prime factorization of 8588 in exponential form is:

8588 = 22×191×1131

Prime Factorization of 8593


13 8593
661 661
1

Prime factors of 8593 are 13,661. Prime factorization of 8593 in exponential form is:

8593 = 131×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 8588 and 8593.

LCM(8588,8593) = 22×131×191×1131×6611
LCM(8588,8593) = 73796684

Factors of 8588

List of positive integer factors of 8588 that divides 8588 without a remainder.

1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588

Factors of 8593

List of positive integer factors of 8593 that divides 8593 without a remainder.

1, 13, 661, 8593

Least Common Multiple of 8588 and 8593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8588 and 8593, than apply into the LCM equation.

GCF(8588,8593) = 1
LCM(8588,8593) = ( 8588 × 8593) / 1
LCM(8588,8593) = 73796684 / 1
LCM(8588,8593) = 73796684

Properties of LCM 8588 and 8593

(i) The LCM of 8593 and 8588 is associative

LCM of 8588 and 8593 = LCM of 8593 and 8588

Related Least Common Multiples of 8588

Related Least Common Multiples of 8593

Frequently Asked Questions on LCM of 8588 and 8593

1. What is the LCM of 8588 and 8593?

Answer: LCM of 8588 and 8593 is 73796684.

2. What are the Factors of 8588?

Answer: Factors of 8588 are 1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588. There are 12 integers that are factors of 8588. The greatest factor of 8588 is 8588.

3. What are the Factors of 8593?

Answer: Factors of 8593 are 1, 13, 661, 8593. There are 4 integers that are factors of 8593. The greatest factor of 8593 is 8593.

4. How to Find the LCM of 8588 and 8593?

Answer:

Least Common Multiple of 8588 and 8593 = 73796684

Step 1: Find the prime factorization of 8588

8588 = 2 x 2 x 19 x 113

Step 2: Find the prime factorization of 8593

8593 = 13 x 661

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

LCM = 73796684 = 2 x 2 x 13 x 19 x 113 x 661

Step 4: Therefore, the least common multiple of 8588 and 8593 is 73796684.