Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7887 and 7894 the smallest integer that is 62259978 that is divisible by both numbers.
Least Common Multiple (LCM) of 7887 and 7894 is 62259978.
LCM(7887,7894) = 62259978
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 7887 and 7894. First we will calculate the prime factors of 7887 and 7894.
Prime Factorization of 7887
3 | 7887 |
11 | 2629 |
239 | 239 |
1 |
Prime factors of 7887 are 3, 11,239. Prime factorization of 7887 in exponential form is:
7887 = 31×111×2391
Prime Factorization of 7894
2 | 7894 |
3947 | 3947 |
1 |
Prime factors of 7894 are 2,3947. Prime factorization of 7894 in exponential form is:
7894 = 21×39471
Now multiplying the highest exponent prime factors to calculate the LCM of 7887 and 7894.
LCM(7887,7894) = 21×31×111×2391×39471
LCM(7887,7894) = 62259978
Factors of 7887
List of positive integer factors of 7887 that divides 7887 without a remainder.
1, 3, 11, 33, 239, 717, 2629, 7887
Factors of 7894
List of positive integer factors of 7894 that divides 7894 without a remainder.
1, 2, 3947, 7894
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7887 and 7894, than apply into the LCM equation.
GCF(7887,7894) = 1
LCM(7887,7894) = ( 7887 × 7894) / 1
LCM(7887,7894) = 62259978 / 1
LCM(7887,7894) = 62259978
(i) The LCM of 7894 and 7887 is associative
LCM of 7887 and 7894 = LCM of 7894 and 7887
1. What is the LCM of 7887 and 7894?
Answer: LCM of 7887 and 7894 is 62259978.
2. What are the Factors of 7887?
Answer: Factors of 7887 are 1, 3, 11, 33, 239, 717, 2629, 7887. There are 8 integers that are factors of 7887. The greatest factor of 7887 is 7887.
3. What are the Factors of 7894?
Answer: Factors of 7894 are 1, 2, 3947, 7894. There are 4 integers that are factors of 7894. The greatest factor of 7894 is 7894.
4. How to Find the LCM of 7887 and 7894?
Answer:
Least Common Multiple of 7887 and 7894 = 62259978
Step 1: Find the prime factorization of 7887
7887 = 3 x 11 x 239
Step 2: Find the prime factorization of 7894
7894 = 2 x 3947
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62259978 = 2 x 3 x 11 x 239 x 3947
Step 4: Therefore, the least common multiple of 7887 and 7894 is 62259978.