Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 68777 and 68781 the smallest integer that is 4730550837 that is divisible by both numbers.
Least Common Multiple (LCM) of 68777 and 68781 is 4730550837.
LCM(68777,68781) = 4730550837
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 68777 and 68781. First we will calculate the prime factors of 68777 and 68781.
Prime Factorization of 68777
68777 | 68777 |
1 |
Prime factors of 68777 are 68777. Prime factorization of 68777 in exponential form is:
68777 = 687771
Prime Factorization of 68781
3 | 68781 |
101 | 22927 |
227 | 227 |
1 |
Prime factors of 68781 are 3, 101,227. Prime factorization of 68781 in exponential form is:
68781 = 31×1011×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 68777 and 68781.
LCM(68777,68781) = 31×1011×2271×687771
LCM(68777,68781) = 4730550837
Factors of 68777
List of positive integer factors of 68777 that divides 68777 without a remainder.
1, 68777
Factors of 68781
List of positive integer factors of 68781 that divides 68781 without a remainder.
1, 3, 101, 227, 303, 681, 22927, 68781
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68777 and 68781, than apply into the LCM equation.
GCF(68777,68781) = 1
LCM(68777,68781) = ( 68777 × 68781) / 1
LCM(68777,68781) = 4730550837 / 1
LCM(68777,68781) = 4730550837
(i) The LCM of 68781 and 68777 is associative
LCM of 68777 and 68781 = LCM of 68781 and 68777
1. What is the LCM of 68777 and 68781?
Answer: LCM of 68777 and 68781 is 4730550837.
2. What are the Factors of 68777?
Answer: Factors of 68777 are 1, 68777. There are 2 integers that are factors of 68777. The greatest factor of 68777 is 68777.
3. What are the Factors of 68781?
Answer: Factors of 68781 are 1, 3, 101, 227, 303, 681, 22927, 68781. There are 8 integers that are factors of 68781. The greatest factor of 68781 is 68781.
4. How to Find the LCM of 68777 and 68781?
Answer:
Least Common Multiple of 68777 and 68781 = 4730550837
Step 1: Find the prime factorization of 68777
68777 = 68777
Step 2: Find the prime factorization of 68781
68781 = 3 x 101 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4730550837 = 3 x 101 x 227 x 68777
Step 4: Therefore, the least common multiple of 68777 and 68781 is 4730550837.