Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2786 and 2789 the smallest integer that is 7770154 that is divisible by both numbers.
Least Common Multiple (LCM) of 2786 and 2789 is 7770154.
LCM(2786,2789) = 7770154
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 2786 and 2789. First we will calculate the prime factors of 2786 and 2789.
Prime Factorization of 2786
2 | 2786 |
7 | 1393 |
199 | 199 |
1 |
Prime factors of 2786 are 2, 7,199. Prime factorization of 2786 in exponential form is:
2786 = 21×71×1991
Prime Factorization of 2789
2789 | 2789 |
1 |
Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:
2789 = 27891
Now multiplying the highest exponent prime factors to calculate the LCM of 2786 and 2789.
LCM(2786,2789) = 21×71×1991×27891
LCM(2786,2789) = 7770154
Factors of 2786
List of positive integer factors of 2786 that divides 2786 without a remainder.
1, 2, 7, 14, 199, 398, 1393, 2786
Factors of 2789
List of positive integer factors of 2789 that divides 2789 without a remainder.
1, 2789
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2786 and 2789, than apply into the LCM equation.
GCF(2786,2789) = 1
LCM(2786,2789) = ( 2786 × 2789) / 1
LCM(2786,2789) = 7770154 / 1
LCM(2786,2789) = 7770154
(i) The LCM of 2789 and 2786 is associative
LCM of 2786 and 2789 = LCM of 2789 and 2786
1. What is the LCM of 2786 and 2789?
Answer: LCM of 2786 and 2789 is 7770154.
2. What are the Factors of 2786?
Answer: Factors of 2786 are 1, 2, 7, 14, 199, 398, 1393, 2786. There are 8 integers that are factors of 2786. The greatest factor of 2786 is 2786.
3. What are the Factors of 2789?
Answer: Factors of 2789 are 1, 2789. There are 2 integers that are factors of 2789. The greatest factor of 2789 is 2789.
4. How to Find the LCM of 2786 and 2789?
Answer:
Least Common Multiple of 2786 and 2789 = 7770154
Step 1: Find the prime factorization of 2786
2786 = 2 x 7 x 199
Step 2: Find the prime factorization of 2789
2789 = 2789
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7770154 = 2 x 7 x 199 x 2789
Step 4: Therefore, the least common multiple of 2786 and 2789 is 7770154.