Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7863 and 7867 the smallest integer that is 61858221 that is divisible by both numbers.
Least Common Multiple (LCM) of 7863 and 7867 is 61858221.
LCM(7863,7867) = 61858221
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 7863 and 7867. First we will calculate the prime factors of 7863 and 7867.
Prime Factorization of 7863
3 | 7863 |
2621 | 2621 |
1 |
Prime factors of 7863 are 3,2621. Prime factorization of 7863 in exponential form is:
7863 = 31×26211
Prime Factorization of 7867
7867 | 7867 |
1 |
Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:
7867 = 78671
Now multiplying the highest exponent prime factors to calculate the LCM of 7863 and 7867.
LCM(7863,7867) = 31×26211×78671
LCM(7863,7867) = 61858221
Factors of 7863
List of positive integer factors of 7863 that divides 7863 without a remainder.
1, 3, 2621, 7863
Factors of 7867
List of positive integer factors of 7867 that divides 7867 without a remainder.
1, 7867
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7863 and 7867, than apply into the LCM equation.
GCF(7863,7867) = 1
LCM(7863,7867) = ( 7863 × 7867) / 1
LCM(7863,7867) = 61858221 / 1
LCM(7863,7867) = 61858221
(i) The LCM of 7867 and 7863 is associative
LCM of 7863 and 7867 = LCM of 7867 and 7863
1. What is the LCM of 7863 and 7867?
Answer: LCM of 7863 and 7867 is 61858221.
2. What are the Factors of 7863?
Answer: Factors of 7863 are 1, 3, 2621, 7863. There are 4 integers that are factors of 7863. The greatest factor of 7863 is 7863.
3. What are the Factors of 7867?
Answer: Factors of 7867 are 1, 7867. There are 2 integers that are factors of 7867. The greatest factor of 7867 is 7867.
4. How to Find the LCM of 7863 and 7867?
Answer:
Least Common Multiple of 7863 and 7867 = 61858221
Step 1: Find the prime factorization of 7863
7863 = 3 x 2621
Step 2: Find the prime factorization of 7867
7867 = 7867
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61858221 = 3 x 2621 x 7867
Step 4: Therefore, the least common multiple of 7863 and 7867 is 61858221.