Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7099 and 7104 the smallest integer that is 50431296 that is divisible by both numbers.
Least Common Multiple (LCM) of 7099 and 7104 is 50431296.
LCM(7099,7104) = 50431296
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7099 and 7104. First we will calculate the prime factors of 7099 and 7104.
Prime Factorization of 7099
31 | 7099 |
229 | 229 |
1 |
Prime factors of 7099 are 31,229. Prime factorization of 7099 in exponential form is:
7099 = 311×2291
Prime Factorization of 7104
2 | 7104 |
2 | 3552 |
2 | 1776 |
2 | 888 |
2 | 444 |
2 | 222 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 7104 are 2, 3,37. Prime factorization of 7104 in exponential form is:
7104 = 26×31×371
Now multiplying the highest exponent prime factors to calculate the LCM of 7099 and 7104.
LCM(7099,7104) = 26×31×311×371×2291
LCM(7099,7104) = 50431296
Factors of 7099
List of positive integer factors of 7099 that divides 7099 without a remainder.
1, 31, 229, 7099
Factors of 7104
List of positive integer factors of 7104 that divides 7104 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7099 and 7104, than apply into the LCM equation.
GCF(7099,7104) = 1
LCM(7099,7104) = ( 7099 × 7104) / 1
LCM(7099,7104) = 50431296 / 1
LCM(7099,7104) = 50431296
(i) The LCM of 7104 and 7099 is associative
LCM of 7099 and 7104 = LCM of 7104 and 7099
1. What is the LCM of 7099 and 7104?
Answer: LCM of 7099 and 7104 is 50431296.
2. What are the Factors of 7099?
Answer: Factors of 7099 are 1, 31, 229, 7099. There are 4 integers that are factors of 7099. The greatest factor of 7099 is 7099.
3. What are the Factors of 7104?
Answer: Factors of 7104 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104. There are 28 integers that are factors of 7104. The greatest factor of 7104 is 7104.
4. How to Find the LCM of 7099 and 7104?
Answer:
Least Common Multiple of 7099 and 7104 = 50431296
Step 1: Find the prime factorization of 7099
7099 = 31 x 229
Step 2: Find the prime factorization of 7104
7104 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50431296 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 31 x 37 x 229
Step 4: Therefore, the least common multiple of 7099 and 7104 is 50431296.