Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 792 and 794 the smallest integer that is 314424 that is divisible by both numbers.
Least Common Multiple (LCM) of 792 and 794 is 314424.
LCM(792,794) = 314424
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 792 and 794. First we will calculate the prime factors of 792 and 794.
Prime Factorization of 792
2 | 792 |
2 | 396 |
2 | 198 |
3 | 99 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 792 are 2, 3,11. Prime factorization of 792 in exponential form is:
792 = 23×32×111
Prime Factorization of 794
2 | 794 |
397 | 397 |
1 |
Prime factors of 794 are 2,397. Prime factorization of 794 in exponential form is:
794 = 21×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 792 and 794.
LCM(792,794) = 23×32×111×3971
LCM(792,794) = 314424
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1, 2, 397, 794
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 792 and 794, than apply into the LCM equation.
GCF(792,794) = 2
LCM(792,794) = ( 792 × 794) / 2
LCM(792,794) = 628848 / 2
LCM(792,794) = 314424
(i) The LCM of 794 and 792 is associative
LCM of 792 and 794 = LCM of 794 and 792
1. What is the LCM of 792 and 794?
Answer: LCM of 792 and 794 is 314424.
2. What are the Factors of 792?
Answer: Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. There are 24 integers that are factors of 792. The greatest factor of 792 is 792.
3. What are the Factors of 794?
Answer: Factors of 794 are 1, 2, 397, 794. There are 4 integers that are factors of 794. The greatest factor of 794 is 794.
4. How to Find the LCM of 792 and 794?
Answer:
Least Common Multiple of 792 and 794 = 314424
Step 1: Find the prime factorization of 792
792 = 2 x 2 x 2 x 3 x 3 x 11
Step 2: Find the prime factorization of 794
794 = 2 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 314424 = 2 x 2 x 2 x 3 x 3 x 11 x 397
Step 4: Therefore, the least common multiple of 792 and 794 is 314424.