Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9785 and 9790 the smallest integer that is 19159030 that is divisible by both numbers.
Least Common Multiple (LCM) of 9785 and 9790 is 19159030.
LCM(9785,9790) = 19159030
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 9785 and 9790. First we will calculate the prime factors of 9785 and 9790.
Prime Factorization of 9785
5 | 9785 |
19 | 1957 |
103 | 103 |
1 |
Prime factors of 9785 are 5, 19,103. Prime factorization of 9785 in exponential form is:
9785 = 51×191×1031
Prime Factorization of 9790
2 | 9790 |
5 | 4895 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 9790 are 2, 5, 11,89. Prime factorization of 9790 in exponential form is:
9790 = 21×51×111×891
Now multiplying the highest exponent prime factors to calculate the LCM of 9785 and 9790.
LCM(9785,9790) = 21×51×111×191×891×1031
LCM(9785,9790) = 19159030
Factors of 9785
List of positive integer factors of 9785 that divides 9785 without a remainder.
1, 5, 19, 95, 103, 515, 1957, 9785
Factors of 9790
List of positive integer factors of 9790 that divides 9790 without a remainder.
1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9785 and 9790, than apply into the LCM equation.
GCF(9785,9790) = 5
LCM(9785,9790) = ( 9785 × 9790) / 5
LCM(9785,9790) = 95795150 / 5
LCM(9785,9790) = 19159030
(i) The LCM of 9790 and 9785 is associative
LCM of 9785 and 9790 = LCM of 9790 and 9785
1. What is the LCM of 9785 and 9790?
Answer: LCM of 9785 and 9790 is 19159030.
2. What are the Factors of 9785?
Answer: Factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785. There are 8 integers that are factors of 9785. The greatest factor of 9785 is 9785.
3. What are the Factors of 9790?
Answer: Factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790. There are 16 integers that are factors of 9790. The greatest factor of 9790 is 9790.
4. How to Find the LCM of 9785 and 9790?
Answer:
Least Common Multiple of 9785 and 9790 = 19159030
Step 1: Find the prime factorization of 9785
9785 = 5 x 19 x 103
Step 2: Find the prime factorization of 9790
9790 = 2 x 5 x 11 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19159030 = 2 x 5 x 11 x 19 x 89 x 103
Step 4: Therefore, the least common multiple of 9785 and 9790 is 19159030.