Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7717 and 7724 the smallest integer that is 59606108 that is divisible by both numbers.
Least Common Multiple (LCM) of 7717 and 7724 is 59606108.
LCM(7717,7724) = 59606108
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 7717 and 7724. First we will calculate the prime factors of 7717 and 7724.
Prime Factorization of 7717
7717 | 7717 |
1 |
Prime factors of 7717 are 7717. Prime factorization of 7717 in exponential form is:
7717 = 77171
Prime Factorization of 7724
2 | 7724 |
2 | 3862 |
1931 | 1931 |
1 |
Prime factors of 7724 are 2,1931. Prime factorization of 7724 in exponential form is:
7724 = 22×19311
Now multiplying the highest exponent prime factors to calculate the LCM of 7717 and 7724.
LCM(7717,7724) = 22×19311×77171
LCM(7717,7724) = 59606108
Factors of 7717
List of positive integer factors of 7717 that divides 7717 without a remainder.
1, 7717
Factors of 7724
List of positive integer factors of 7724 that divides 7724 without a remainder.
1, 2, 4, 1931, 3862, 7724
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7717 and 7724, than apply into the LCM equation.
GCF(7717,7724) = 1
LCM(7717,7724) = ( 7717 × 7724) / 1
LCM(7717,7724) = 59606108 / 1
LCM(7717,7724) = 59606108
(i) The LCM of 7724 and 7717 is associative
LCM of 7717 and 7724 = LCM of 7724 and 7717
1. What is the LCM of 7717 and 7724?
Answer: LCM of 7717 and 7724 is 59606108.
2. What are the Factors of 7717?
Answer: Factors of 7717 are 1, 7717. There are 2 integers that are factors of 7717. The greatest factor of 7717 is 7717.
3. What are the Factors of 7724?
Answer: Factors of 7724 are 1, 2, 4, 1931, 3862, 7724. There are 6 integers that are factors of 7724. The greatest factor of 7724 is 7724.
4. How to Find the LCM of 7717 and 7724?
Answer:
Least Common Multiple of 7717 and 7724 = 59606108
Step 1: Find the prime factorization of 7717
7717 = 7717
Step 2: Find the prime factorization of 7724
7724 = 2 x 2 x 1931
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59606108 = 2 x 2 x 1931 x 7717
Step 4: Therefore, the least common multiple of 7717 and 7724 is 59606108.