Least Common Multiple of 8099 and 8104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8099 and 8104 the smallest integer that is 65634296 that is divisible by both numbers.

Least Common Multiple (LCM) of 8099 and 8104 is 65634296.

LCM(8099,8104) = 65634296

LCM of 8099 and 8104

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

LCM of:
and

Least Common Multiple of 8099 and 8104

LCM of 8099 and 8104 is 65634296

Least common multiple can be found by multiplying the highest exponent prime factors of 8099 and 8104. First we will calculate the prime factors of 8099 and 8104.

Prime Factorization of 8099


7 8099
13 1157
89 89
1

Prime factors of 8099 are 7, 13,89. Prime factorization of 8099 in exponential form is:

8099 = 71×131×891

Prime Factorization of 8104


2 8104
2 4052
2 2026
1013 1013
1

Prime factors of 8104 are 2,1013. Prime factorization of 8104 in exponential form is:

8104 = 23×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 8099 and 8104.

LCM(8099,8104) = 23×71×131×891×10131
LCM(8099,8104) = 65634296

Factors of 8099

List of positive integer factors of 8099 that divides 8099 without a remainder.

1, 7, 13, 89, 91, 623, 1157, 8099

Factors of 8104

List of positive integer factors of 8104 that divides 8104 without a remainder.

1, 2, 4, 8, 1013, 2026, 4052, 8104

Least Common Multiple of 8099 and 8104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8099 and 8104, than apply into the LCM equation.

GCF(8099,8104) = 1
LCM(8099,8104) = ( 8099 × 8104) / 1
LCM(8099,8104) = 65634296 / 1
LCM(8099,8104) = 65634296

Properties of LCM 8099 and 8104

(i) The LCM of 8104 and 8099 is associative

LCM of 8099 and 8104 = LCM of 8104 and 8099

Related Least Common Multiples of 8099

Related Least Common Multiples of 8104

Frequently Asked Questions on LCM of 8099 and 8104

1. What is the LCM of 8099 and 8104?

Answer: LCM of 8099 and 8104 is 65634296.

2. What are the Factors of 8099?

Answer: Factors of 8099 are 1, 7, 13, 89, 91, 623, 1157, 8099. There are 8 integers that are factors of 8099. The greatest factor of 8099 is 8099.

3. What are the Factors of 8104?

Answer: Factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104. There are 8 integers that are factors of 8104. The greatest factor of 8104 is 8104.

4. How to Find the LCM of 8099 and 8104?

Answer:

Least Common Multiple of 8099 and 8104 = 65634296

Step 1: Find the prime factorization of 8099

8099 = 7 x 13 x 89

Step 2: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

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

LCM = 65634296 = 2 x 2 x 2 x 7 x 13 x 89 x 1013

Step 4: Therefore, the least common multiple of 8099 and 8104 is 65634296.