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 7722 the smallest integer that is 59590674 that is divisible by both numbers.
Least Common Multiple (LCM) of 7717 and 7722 is 59590674.
LCM(7717,7722) = 59590674
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 7722. First we will calculate the prime factors of 7717 and 7722.
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 7722
2 | 7722 |
3 | 3861 |
3 | 1287 |
3 | 429 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 7722 are 2, 3, 11,13. Prime factorization of 7722 in exponential form is:
7722 = 21×33×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 7717 and 7722.
LCM(7717,7722) = 21×33×111×131×77171
LCM(7717,7722) = 59590674
Factors of 7717
List of positive integer factors of 7717 that divides 7717 without a remainder.
1, 7717
Factors of 7722
List of positive integer factors of 7722 that divides 7722 without a remainder.
1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7717 and 7722, than apply into the LCM equation.
GCF(7717,7722) = 1
LCM(7717,7722) = ( 7717 × 7722) / 1
LCM(7717,7722) = 59590674 / 1
LCM(7717,7722) = 59590674
(i) The LCM of 7722 and 7717 is associative
LCM of 7717 and 7722 = LCM of 7722 and 7717
1. What is the LCM of 7717 and 7722?
Answer: LCM of 7717 and 7722 is 59590674.
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 7722?
Answer: Factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722. There are 32 integers that are factors of 7722. The greatest factor of 7722 is 7722.
4. How to Find the LCM of 7717 and 7722?
Answer:
Least Common Multiple of 7717 and 7722 = 59590674
Step 1: Find the prime factorization of 7717
7717 = 7717
Step 2: Find the prime factorization of 7722
7722 = 2 x 3 x 3 x 3 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59590674 = 2 x 3 x 3 x 3 x 11 x 13 x 7717
Step 4: Therefore, the least common multiple of 7717 and 7722 is 59590674.