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 7795 the smallest integer that is 60746435 that is divisible by both numbers.
Least Common Multiple (LCM) of 7793 and 7795 is 60746435.
LCM(7793,7795) = 60746435
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 7795. First we will calculate the prime factors of 7793 and 7795.
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 7795
5 | 7795 |
1559 | 1559 |
1 |
Prime factors of 7795 are 5,1559. Prime factorization of 7795 in exponential form is:
7795 = 51×15591
Now multiplying the highest exponent prime factors to calculate the LCM of 7793 and 7795.
LCM(7793,7795) = 51×15591×77931
LCM(7793,7795) = 60746435
Factors of 7793
List of positive integer factors of 7793 that divides 7793 without a remainder.
1, 7793
Factors of 7795
List of positive integer factors of 7795 that divides 7795 without a remainder.
1, 5, 1559, 7795
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7793 and 7795, than apply into the LCM equation.
GCF(7793,7795) = 1
LCM(7793,7795) = ( 7793 × 7795) / 1
LCM(7793,7795) = 60746435 / 1
LCM(7793,7795) = 60746435
(i) The LCM of 7795 and 7793 is associative
LCM of 7793 and 7795 = LCM of 7795 and 7793
1. What is the LCM of 7793 and 7795?
Answer: LCM of 7793 and 7795 is 60746435.
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 7795?
Answer: Factors of 7795 are 1, 5, 1559, 7795. There are 4 integers that are factors of 7795. The greatest factor of 7795 is 7795.
4. How to Find the LCM of 7793 and 7795?
Answer:
Least Common Multiple of 7793 and 7795 = 60746435
Step 1: Find the prime factorization of 7793
7793 = 7793
Step 2: Find the prime factorization of 7795
7795 = 5 x 1559
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60746435 = 5 x 1559 x 7793
Step 4: Therefore, the least common multiple of 7793 and 7795 is 60746435.