Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 785 and 788 the smallest integer that is 618580 that is divisible by both numbers.
Least Common Multiple (LCM) of 785 and 788 is 618580.
LCM(785,788) = 618580
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 785 and 788. First we will calculate the prime factors of 785 and 788.
Prime Factorization of 785
5 | 785 |
157 | 157 |
1 |
Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:
785 = 51×1571
Prime Factorization of 788
2 | 788 |
2 | 394 |
197 | 197 |
1 |
Prime factors of 788 are 2,197. Prime factorization of 788 in exponential form is:
788 = 22×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 785 and 788.
LCM(785,788) = 22×51×1571×1971
LCM(785,788) = 618580
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 785 and 788, than apply into the LCM equation.
GCF(785,788) = 1
LCM(785,788) = ( 785 × 788) / 1
LCM(785,788) = 618580 / 1
LCM(785,788) = 618580
(i) The LCM of 788 and 785 is associative
LCM of 785 and 788 = LCM of 788 and 785
1. What is the LCM of 785 and 788?
Answer: LCM of 785 and 788 is 618580.
2. What are the Factors of 785?
Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.
3. What are the Factors of 788?
Answer: Factors of 788 are 1, 2, 4, 197, 394, 788. There are 6 integers that are factors of 788. The greatest factor of 788 is 788.
4. How to Find the LCM of 785 and 788?
Answer:
Least Common Multiple of 785 and 788 = 618580
Step 1: Find the prime factorization of 785
785 = 5 x 157
Step 2: Find the prime factorization of 788
788 = 2 x 2 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 618580 = 2 x 2 x 5 x 157 x 197
Step 4: Therefore, the least common multiple of 785 and 788 is 618580.