Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7793 and 7799 the smallest integer that is 60777607 that is divisible by both numbers.
Least Common Multiple (LCM) of 7793 and 7799 is 60777607.
LCM(7793,7799) = 60777607
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 7793 and 7799. First we will calculate the prime factors of 7793 and 7799.
Prime Factorization of 7793
7793 | 7793 |
1 |
Prime factors of 7793 are 7793. Prime factorization of 7793 in exponential form is:
7793 = 77931
Prime Factorization of 7799
11 | 7799 |
709 | 709 |
1 |
Prime factors of 7799 are 11,709. Prime factorization of 7799 in exponential form is:
7799 = 111×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 7793 and 7799.
LCM(7793,7799) = 111×7091×77931
LCM(7793,7799) = 60777607
Factors of 7793
List of positive integer factors of 7793 that divides 7793 without a remainder.
1, 7793
Factors of 7799
List of positive integer factors of 7799 that divides 7799 without a remainder.
1, 11, 709, 7799
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7793 and 7799, than apply into the LCM equation.
GCF(7793,7799) = 1
LCM(7793,7799) = ( 7793 × 7799) / 1
LCM(7793,7799) = 60777607 / 1
LCM(7793,7799) = 60777607
(i) The LCM of 7799 and 7793 is associative
LCM of 7793 and 7799 = LCM of 7799 and 7793
1. What is the LCM of 7793 and 7799?
Answer: LCM of 7793 and 7799 is 60777607.
2. What are the Factors of 7793?
Answer: Factors of 7793 are 1, 7793. There are 2 integers that are factors of 7793. The greatest factor of 7793 is 7793.
3. What are the Factors of 7799?
Answer: Factors of 7799 are 1, 11, 709, 7799. There are 4 integers that are factors of 7799. The greatest factor of 7799 is 7799.
4. How to Find the LCM of 7793 and 7799?
Answer:
Least Common Multiple of 7793 and 7799 = 60777607
Step 1: Find the prime factorization of 7793
7793 = 7793
Step 2: Find the prime factorization of 7799
7799 = 11 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60777607 = 11 x 709 x 7793
Step 4: Therefore, the least common multiple of 7793 and 7799 is 60777607.