Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7796 and 7800 the smallest integer that is 15202200 that is divisible by both numbers.
Least Common Multiple (LCM) of 7796 and 7800 is 15202200.
LCM(7796,7800) = 15202200
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 7796 and 7800. First we will calculate the prime factors of 7796 and 7800.
Prime Factorization of 7796
2 | 7796 |
2 | 3898 |
1949 | 1949 |
1 |
Prime factors of 7796 are 2,1949. Prime factorization of 7796 in exponential form is:
7796 = 22×19491
Prime Factorization of 7800
2 | 7800 |
2 | 3900 |
2 | 1950 |
3 | 975 |
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 7800 are 2, 3, 5,13. Prime factorization of 7800 in exponential form is:
7800 = 23×31×52×131
Now multiplying the highest exponent prime factors to calculate the LCM of 7796 and 7800.
LCM(7796,7800) = 23×31×52×131×19491
LCM(7796,7800) = 15202200
Factors of 7796
List of positive integer factors of 7796 that divides 7796 without a remainder.
1, 2, 4, 1949, 3898, 7796
Factors of 7800
List of positive integer factors of 7800 that divides 7800 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7796 and 7800, than apply into the LCM equation.
GCF(7796,7800) = 4
LCM(7796,7800) = ( 7796 × 7800) / 4
LCM(7796,7800) = 60808800 / 4
LCM(7796,7800) = 15202200
(i) The LCM of 7800 and 7796 is associative
LCM of 7796 and 7800 = LCM of 7800 and 7796
1. What is the LCM of 7796 and 7800?
Answer: LCM of 7796 and 7800 is 15202200.
2. What are the Factors of 7796?
Answer: Factors of 7796 are 1, 2, 4, 1949, 3898, 7796. There are 6 integers that are factors of 7796. The greatest factor of 7796 is 7796.
3. What are the Factors of 7800?
Answer: Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. There are 48 integers that are factors of 7800. The greatest factor of 7800 is 7800.
4. How to Find the LCM of 7796 and 7800?
Answer:
Least Common Multiple of 7796 and 7800 = 15202200
Step 1: Find the prime factorization of 7796
7796 = 2 x 2 x 1949
Step 2: Find the prime factorization of 7800
7800 = 2 x 2 x 2 x 3 x 5 x 5 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 = 15202200 = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 1949
Step 4: Therefore, the least common multiple of 7796 and 7800 is 15202200.