Least Common Multiple of 8299 and 8304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8299 and 8304 the smallest integer that is 68914896 that is divisible by both numbers.

Least Common Multiple (LCM) of 8299 and 8304 is 68914896.

LCM(8299,8304) = 68914896

LCM of 8299 and 8304

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

LCM of:
and

Least Common Multiple of 8299 and 8304

LCM of 8299 and 8304 is 68914896

Least common multiple can be found by multiplying the highest exponent prime factors of 8299 and 8304. First we will calculate the prime factors of 8299 and 8304.

Prime Factorization of 8299


43 8299
193 193
1

Prime factors of 8299 are 43,193. Prime factorization of 8299 in exponential form is:

8299 = 431×1931

Prime Factorization of 8304


2 8304
2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 8304 are 2, 3,173. Prime factorization of 8304 in exponential form is:

8304 = 24×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8299 and 8304.

LCM(8299,8304) = 24×31×431×1731×1931
LCM(8299,8304) = 68914896

Factors of 8299

List of positive integer factors of 8299 that divides 8299 without a remainder.

1, 43, 193, 8299

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304

Least Common Multiple of 8299 and 8304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8299 and 8304, than apply into the LCM equation.

GCF(8299,8304) = 1
LCM(8299,8304) = ( 8299 × 8304) / 1
LCM(8299,8304) = 68914896 / 1
LCM(8299,8304) = 68914896

Properties of LCM 8299 and 8304

(i) The LCM of 8304 and 8299 is associative

LCM of 8299 and 8304 = LCM of 8304 and 8299

Related Least Common Multiples of 8299

Related Least Common Multiples of 8304

Frequently Asked Questions on LCM of 8299 and 8304

1. What is the LCM of 8299 and 8304?

Answer: LCM of 8299 and 8304 is 68914896.

2. What are the Factors of 8299?

Answer: Factors of 8299 are 1, 43, 193, 8299. There are 4 integers that are factors of 8299. The greatest factor of 8299 is 8299.

3. What are the Factors of 8304?

Answer: Factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304. There are 20 integers that are factors of 8304. The greatest factor of 8304 is 8304.

4. How to Find the LCM of 8299 and 8304?

Answer:

Least Common Multiple of 8299 and 8304 = 68914896

Step 1: Find the prime factorization of 8299

8299 = 43 x 193

Step 2: Find the prime factorization of 8304

8304 = 2 x 2 x 2 x 2 x 3 x 173

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

LCM = 68914896 = 2 x 2 x 2 x 2 x 3 x 43 x 173 x 193

Step 4: Therefore, the least common multiple of 8299 and 8304 is 68914896.