Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7787 and 7789 the smallest integer that is 60652943 that is divisible by both numbers.
Least Common Multiple (LCM) of 7787 and 7789 is 60652943.
LCM(7787,7789) = 60652943
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 7787 and 7789. First we will calculate the prime factors of 7787 and 7789.
Prime Factorization of 7787
13 | 7787 |
599 | 599 |
1 |
Prime factors of 7787 are 13,599. Prime factorization of 7787 in exponential form is:
7787 = 131×5991
Prime Factorization of 7789
7789 | 7789 |
1 |
Prime factors of 7789 are 7789. Prime factorization of 7789 in exponential form is:
7789 = 77891
Now multiplying the highest exponent prime factors to calculate the LCM of 7787 and 7789.
LCM(7787,7789) = 131×5991×77891
LCM(7787,7789) = 60652943
Factors of 7787
List of positive integer factors of 7787 that divides 7787 without a remainder.
1, 13, 599, 7787
Factors of 7789
List of positive integer factors of 7789 that divides 7789 without a remainder.
1, 7789
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7787 and 7789, than apply into the LCM equation.
GCF(7787,7789) = 1
LCM(7787,7789) = ( 7787 × 7789) / 1
LCM(7787,7789) = 60652943 / 1
LCM(7787,7789) = 60652943
(i) The LCM of 7789 and 7787 is associative
LCM of 7787 and 7789 = LCM of 7789 and 7787
1. What is the LCM of 7787 and 7789?
Answer: LCM of 7787 and 7789 is 60652943.
2. What are the Factors of 7787?
Answer: Factors of 7787 are 1, 13, 599, 7787. There are 4 integers that are factors of 7787. The greatest factor of 7787 is 7787.
3. What are the Factors of 7789?
Answer: Factors of 7789 are 1, 7789. There are 2 integers that are factors of 7789. The greatest factor of 7789 is 7789.
4. How to Find the LCM of 7787 and 7789?
Answer:
Least Common Multiple of 7787 and 7789 = 60652943
Step 1: Find the prime factorization of 7787
7787 = 13 x 599
Step 2: Find the prime factorization of 7789
7789 = 7789
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60652943 = 13 x 599 x 7789
Step 4: Therefore, the least common multiple of 7787 and 7789 is 60652943.