Least Common Multiple of 8592 and 8597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8592 and 8597 the smallest integer that is 73865424 that is divisible by both numbers.

Least Common Multiple (LCM) of 8592 and 8597 is 73865424.

LCM(8592,8597) = 73865424

LCM of 8592 and 8597

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

LCM of:
and

Least Common Multiple of 8592 and 8597

LCM of 8592 and 8597 is 73865424

Least common multiple can be found by multiplying the highest exponent prime factors of 8592 and 8597. First we will calculate the prime factors of 8592 and 8597.

Prime Factorization of 8592


2 8592
2 4296
2 2148
2 1074
3 537
179 179
1

Prime factors of 8592 are 2, 3,179. Prime factorization of 8592 in exponential form is:

8592 = 24×31×1791

Prime Factorization of 8597


8597 8597
1

Prime factors of 8597 are 8597. Prime factorization of 8597 in exponential form is:

8597 = 85971

Now multiplying the highest exponent prime factors to calculate the LCM of 8592 and 8597.

LCM(8592,8597) = 24×31×1791×85971
LCM(8592,8597) = 73865424

Factors of 8592

List of positive integer factors of 8592 that divides 8592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592

Factors of 8597

List of positive integer factors of 8597 that divides 8597 without a remainder.

1, 8597

Least Common Multiple of 8592 and 8597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8592 and 8597, than apply into the LCM equation.

GCF(8592,8597) = 1
LCM(8592,8597) = ( 8592 × 8597) / 1
LCM(8592,8597) = 73865424 / 1
LCM(8592,8597) = 73865424

Properties of LCM 8592 and 8597

(i) The LCM of 8597 and 8592 is associative

LCM of 8592 and 8597 = LCM of 8597 and 8592

Related Least Common Multiples of 8592

Related Least Common Multiples of 8597

Frequently Asked Questions on LCM of 8592 and 8597

1. What is the LCM of 8592 and 8597?

Answer: LCM of 8592 and 8597 is 73865424.

2. What are the Factors of 8592?

Answer: Factors of 8592 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592. There are 20 integers that are factors of 8592. The greatest factor of 8592 is 8592.

3. What are the Factors of 8597?

Answer: Factors of 8597 are 1, 8597. There are 2 integers that are factors of 8597. The greatest factor of 8597 is 8597.

4. How to Find the LCM of 8592 and 8597?

Answer:

Least Common Multiple of 8592 and 8597 = 73865424

Step 1: Find the prime factorization of 8592

8592 = 2 x 2 x 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 8597

8597 = 8597

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

LCM = 73865424 = 2 x 2 x 2 x 2 x 3 x 179 x 8597

Step 4: Therefore, the least common multiple of 8592 and 8597 is 73865424.