Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7783 and 7787 the smallest integer that is 60606221 that is divisible by both numbers.
Least Common Multiple (LCM) of 7783 and 7787 is 60606221.
LCM(7783,7787) = 60606221
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 7783 and 7787. First we will calculate the prime factors of 7783 and 7787.
Prime Factorization of 7783
43 | 7783 |
181 | 181 |
1 |
Prime factors of 7783 are 43,181. Prime factorization of 7783 in exponential form is:
7783 = 431×1811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7783 and 7787.
LCM(7783,7787) = 131×431×1811×5991
LCM(7783,7787) = 60606221
Factors of 7783
List of positive integer factors of 7783 that divides 7783 without a remainder.
1, 43, 181, 7783
Factors of 7787
List of positive integer factors of 7787 that divides 7787 without a remainder.
1, 13, 599, 7787
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7783 and 7787, than apply into the LCM equation.
GCF(7783,7787) = 1
LCM(7783,7787) = ( 7783 × 7787) / 1
LCM(7783,7787) = 60606221 / 1
LCM(7783,7787) = 60606221
(i) The LCM of 7787 and 7783 is associative
LCM of 7783 and 7787 = LCM of 7787 and 7783
1. What is the LCM of 7783 and 7787?
Answer: LCM of 7783 and 7787 is 60606221.
2. What are the Factors of 7783?
Answer: Factors of 7783 are 1, 43, 181, 7783. There are 4 integers that are factors of 7783. The greatest factor of 7783 is 7783.
3. 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.
4. How to Find the LCM of 7783 and 7787?
Answer:
Least Common Multiple of 7783 and 7787 = 60606221
Step 1: Find the prime factorization of 7783
7783 = 43 x 181
Step 2: Find the prime factorization of 7787
7787 = 13 x 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60606221 = 13 x 43 x 181 x 599
Step 4: Therefore, the least common multiple of 7783 and 7787 is 60606221.