Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7656 and 7662 the smallest integer that is 9776712 that is divisible by both numbers.
Least Common Multiple (LCM) of 7656 and 7662 is 9776712.
LCM(7656,7662) = 9776712
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 7656 and 7662. First we will calculate the prime factors of 7656 and 7662.
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
Prime Factorization of 7662
2 | 7662 |
3 | 3831 |
1277 | 1277 |
1 |
Prime factors of 7662 are 2, 3,1277. Prime factorization of 7662 in exponential form is:
7662 = 21×31×12771
Now multiplying the highest exponent prime factors to calculate the LCM of 7656 and 7662.
LCM(7656,7662) = 23×31×111×291×12771
LCM(7656,7662) = 9776712
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
Factors of 7662
List of positive integer factors of 7662 that divides 7662 without a remainder.
1, 2, 3, 6, 1277, 2554, 3831, 7662
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7656 and 7662, than apply into the LCM equation.
GCF(7656,7662) = 6
LCM(7656,7662) = ( 7656 × 7662) / 6
LCM(7656,7662) = 58660272 / 6
LCM(7656,7662) = 9776712
(i) The LCM of 7662 and 7656 is associative
LCM of 7656 and 7662 = LCM of 7662 and 7656
1. What is the LCM of 7656 and 7662?
Answer: LCM of 7656 and 7662 is 9776712.
2. 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.
3. What are the Factors of 7662?
Answer: Factors of 7662 are 1, 2, 3, 6, 1277, 2554, 3831, 7662. There are 8 integers that are factors of 7662. The greatest factor of 7662 is 7662.
4. How to Find the LCM of 7656 and 7662?
Answer:
Least Common Multiple of 7656 and 7662 = 9776712
Step 1: Find the prime factorization of 7656
7656 = 2 x 2 x 2 x 3 x 11 x 29
Step 2: Find the prime factorization of 7662
7662 = 2 x 3 x 1277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9776712 = 2 x 2 x 2 x 3 x 11 x 29 x 1277
Step 4: Therefore, the least common multiple of 7656 and 7662 is 9776712.