Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7651 and 7656 the smallest integer that is 58576056 that is divisible by both numbers.
Least Common Multiple (LCM) of 7651 and 7656 is 58576056.
LCM(7651,7656) = 58576056
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 7651 and 7656. First we will calculate the prime factors of 7651 and 7656.
Prime Factorization of 7651
7 | 7651 |
1093 | 1093 |
1 |
Prime factors of 7651 are 7,1093. Prime factorization of 7651 in exponential form is:
7651 = 71×10931
Prime Factorization of 7656
2 | 7656 |
2 | 3828 |
2 | 1914 |
3 | 957 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 7656 are 2, 3, 11,29. Prime factorization of 7656 in exponential form is:
7656 = 23×31×111×291
Now multiplying the highest exponent prime factors to calculate the LCM of 7651 and 7656.
LCM(7651,7656) = 23×31×71×111×291×10931
LCM(7651,7656) = 58576056
Factors of 7651
List of positive integer factors of 7651 that divides 7651 without a remainder.
1, 7, 1093, 7651
Factors of 7656
List of positive integer factors of 7656 that divides 7656 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7651 and 7656, than apply into the LCM equation.
GCF(7651,7656) = 1
LCM(7651,7656) = ( 7651 × 7656) / 1
LCM(7651,7656) = 58576056 / 1
LCM(7651,7656) = 58576056
(i) The LCM of 7656 and 7651 is associative
LCM of 7651 and 7656 = LCM of 7656 and 7651
1. What is the LCM of 7651 and 7656?
Answer: LCM of 7651 and 7656 is 58576056.
2. What are the Factors of 7651?
Answer: Factors of 7651 are 1, 7, 1093, 7651. There are 4 integers that are factors of 7651. The greatest factor of 7651 is 7651.
3. What are the Factors of 7656?
Answer: Factors of 7656 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656. There are 32 integers that are factors of 7656. The greatest factor of 7656 is 7656.
4. How to Find the LCM of 7651 and 7656?
Answer:
Least Common Multiple of 7651 and 7656 = 58576056
Step 1: Find the prime factorization of 7651
7651 = 7 x 1093
Step 2: Find the prime factorization of 7656
7656 = 2 x 2 x 2 x 3 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58576056 = 2 x 2 x 2 x 3 x 7 x 11 x 29 x 1093
Step 4: Therefore, the least common multiple of 7651 and 7656 is 58576056.