Least Common Multiple of 7722 and 7727
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7722 and 7727 the smallest integer that is 59667894 that is divisible by both numbers.
Least Common Multiple (LCM) of 7722 and 7727 is 59667894.
LCM(7722,7727) = 59667894
LCM of 7722 and 7727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7722 and 7727 by Prime method
- Least Common Multiple of 7722 and 7727 with GCF Formula
LCM of 7722 and 7727 is 59667894
Least common multiple can be found by multiplying the highest exponent prime factors of 7722 and 7727. First we will calculate the prime factors of 7722 and 7727.
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
Prime Factorization of 7727
| 7727 | 7727 |
| 1 |
Prime factors of 7727 are 7727. Prime factorization of 7727 in exponential form is:
7727 = 77271
Now multiplying the highest exponent prime factors to calculate the LCM of 7722 and 7727.
LCM(7722,7727) = 21×33×111×131×77271
LCM(7722,7727) = 59667894
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
Factors of 7727
List of positive integer factors of 7727 that divides 7727 without a remainder.
1, 7727
Least Common Multiple of 7722 and 7727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7722 and 7727, than apply into the LCM equation.
GCF(7722,7727) = 1
LCM(7722,7727) = ( 7722 × 7727) / 1
LCM(7722,7727) = 59667894 / 1
LCM(7722,7727) = 59667894
Properties of LCM 7722 and 7727
(i) The LCM of 7727 and 7722 is associative
LCM of 7722 and 7727 = LCM of 7727 and 7722
Related Least Common Multiples of 7722
Related Least Common Multiples of 7727
Frequently Asked Questions on LCM of 7722 and 7727
1. What is the LCM of 7722 and 7727?
Answer: LCM of 7722 and 7727 is 59667894.
2. 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.
3. What are the Factors of 7727?
Answer: Factors of 7727 are 1, 7727. There are 2 integers that are factors of 7727. The greatest factor of 7727 is 7727.
4. How to Find the LCM of 7722 and 7727?
Answer:
Least Common Multiple of 7722 and 7727 = 59667894
Step 1: Find the prime factorization of 7722
7722 = 2 x 3 x 3 x 3 x 11 x 13
Step 2: Find the prime factorization of 7727
7727 = 7727
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59667894 = 2 x 3 x 3 x 3 x 11 x 13 x 7727
Step 4: Therefore, the least common multiple of 7722 and 7727 is 59667894.