Least Common Multiple of 8596 and 8604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8596 and 8604 the smallest integer that is 18489996 that is divisible by both numbers.

Least Common Multiple (LCM) of 8596 and 8604 is 18489996.

LCM(8596,8604) = 18489996

LCM of 8596 and 8604

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

LCM of:
and

Least Common Multiple of 8596 and 8604

LCM of 8596 and 8604 is 18489996

Least common multiple can be found by multiplying the highest exponent prime factors of 8596 and 8604. First we will calculate the prime factors of 8596 and 8604.

Prime Factorization of 8596


2 8596
2 4298
7 2149
307 307
1

Prime factors of 8596 are 2, 7,307. Prime factorization of 8596 in exponential form is:

8596 = 22×71×3071

Prime Factorization of 8604


2 8604
2 4302
3 2151
3 717
239 239
1

Prime factors of 8604 are 2, 3,239. Prime factorization of 8604 in exponential form is:

8604 = 22×32×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8596 and 8604.

LCM(8596,8604) = 22×32×71×2391×3071
LCM(8596,8604) = 18489996

Factors of 8596

List of positive integer factors of 8596 that divides 8596 without a remainder.

1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596

Factors of 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604

Least Common Multiple of 8596 and 8604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8596 and 8604, than apply into the LCM equation.

GCF(8596,8604) = 4
LCM(8596,8604) = ( 8596 × 8604) / 4
LCM(8596,8604) = 73959984 / 4
LCM(8596,8604) = 18489996

Properties of LCM 8596 and 8604

(i) The LCM of 8604 and 8596 is associative

LCM of 8596 and 8604 = LCM of 8604 and 8596

Related Least Common Multiples of 8596

Related Least Common Multiples of 8604

Frequently Asked Questions on LCM of 8596 and 8604

1. What is the LCM of 8596 and 8604?

Answer: LCM of 8596 and 8604 is 18489996.

2. What are the Factors of 8596?

Answer: Factors of 8596 are 1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596. There are 12 integers that are factors of 8596. The greatest factor of 8596 is 8596.

3. What are the Factors of 8604?

Answer: Factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604. There are 18 integers that are factors of 8604. The greatest factor of 8604 is 8604.

4. How to Find the LCM of 8596 and 8604?

Answer:

Least Common Multiple of 8596 and 8604 = 18489996

Step 1: Find the prime factorization of 8596

8596 = 2 x 2 x 7 x 307

Step 2: Find the prime factorization of 8604

8604 = 2 x 2 x 3 x 3 x 239

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

LCM = 18489996 = 2 x 2 x 3 x 3 x 7 x 239 x 307

Step 4: Therefore, the least common multiple of 8596 and 8604 is 18489996.