Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7713 and 7718 the smallest integer that is 59528934 that is divisible by both numbers.
Least Common Multiple (LCM) of 7713 and 7718 is 59528934.
LCM(7713,7718) = 59528934
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 7713 and 7718. First we will calculate the prime factors of 7713 and 7718.
Prime Factorization of 7713
3 | 7713 |
3 | 2571 |
857 | 857 |
1 |
Prime factors of 7713 are 3,857. Prime factorization of 7713 in exponential form is:
7713 = 32×8571
Prime Factorization of 7718
2 | 7718 |
17 | 3859 |
227 | 227 |
1 |
Prime factors of 7718 are 2, 17,227. Prime factorization of 7718 in exponential form is:
7718 = 21×171×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 7713 and 7718.
LCM(7713,7718) = 21×32×171×2271×8571
LCM(7713,7718) = 59528934
Factors of 7713
List of positive integer factors of 7713 that divides 7713 without a remainder.
1, 3, 9, 857, 2571, 7713
Factors of 7718
List of positive integer factors of 7718 that divides 7718 without a remainder.
1, 2, 17, 34, 227, 454, 3859, 7718
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7713 and 7718, than apply into the LCM equation.
GCF(7713,7718) = 1
LCM(7713,7718) = ( 7713 × 7718) / 1
LCM(7713,7718) = 59528934 / 1
LCM(7713,7718) = 59528934
(i) The LCM of 7718 and 7713 is associative
LCM of 7713 and 7718 = LCM of 7718 and 7713
1. What is the LCM of 7713 and 7718?
Answer: LCM of 7713 and 7718 is 59528934.
2. What are the Factors of 7713?
Answer: Factors of 7713 are 1, 3, 9, 857, 2571, 7713. There are 6 integers that are factors of 7713. The greatest factor of 7713 is 7713.
3. What are the Factors of 7718?
Answer: Factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718. There are 8 integers that are factors of 7718. The greatest factor of 7718 is 7718.
4. How to Find the LCM of 7713 and 7718?
Answer:
Least Common Multiple of 7713 and 7718 = 59528934
Step 1: Find the prime factorization of 7713
7713 = 3 x 3 x 857
Step 2: Find the prime factorization of 7718
7718 = 2 x 17 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59528934 = 2 x 3 x 3 x 17 x 227 x 857
Step 4: Therefore, the least common multiple of 7713 and 7718 is 59528934.