Least Common Multiple of 791 and 798
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 791 and 798 the smallest integer that is 90174 that is divisible by both numbers.
Least Common Multiple (LCM) of 791 and 798 is 90174.
LCM(791,798) = 90174
LCM of 791 and 798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 791 and 798 by Prime method
- Least Common Multiple of 791 and 798 with GCF Formula
LCM of 791 and 798 is 90174
Least common multiple can be found by multiplying the highest exponent prime factors of 791 and 798. First we will calculate the prime factors of 791 and 798.
Prime Factorization of 791
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 791 are 7,113. Prime factorization of 791 in exponential form is:
791 = 71×1131
Prime Factorization of 798
| 2 | 798 |
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 798 are 2, 3, 7,19. Prime factorization of 798 in exponential form is:
798 = 21×31×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 791 and 798.
LCM(791,798) = 21×31×71×191×1131
LCM(791,798) = 90174
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Least Common Multiple of 791 and 798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 791 and 798, than apply into the LCM equation.
GCF(791,798) = 7
LCM(791,798) = ( 791 × 798) / 7
LCM(791,798) = 631218 / 7
LCM(791,798) = 90174
Properties of LCM 791 and 798
(i) The LCM of 798 and 791 is associative
LCM of 791 and 798 = LCM of 798 and 791
Related Least Common Multiples of 791
Related Least Common Multiples of 798
Frequently Asked Questions on LCM of 791 and 798
1. What is the LCM of 791 and 798?
Answer: LCM of 791 and 798 is 90174.
2. What are the Factors of 791?
Answer: Factors of 791 are 1, 7, 113, 791. There are 4 integers that are factors of 791. The greatest factor of 791 is 791.
3. What are the Factors of 798?
Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.
4. How to Find the LCM of 791 and 798?
Answer:
Least Common Multiple of 791 and 798 = 90174
Step 1: Find the prime factorization of 791
791 = 7 x 113
Step 2: Find the prime factorization of 798
798 = 2 x 3 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90174 = 2 x 3 x 7 x 19 x 113
Step 4: Therefore, the least common multiple of 791 and 798 is 90174.
