Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4887 and 4894 the smallest integer that is 23916978 that is divisible by both numbers.
Least Common Multiple (LCM) of 4887 and 4894 is 23916978.
LCM(4887,4894) = 23916978
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 4887 and 4894. First we will calculate the prime factors of 4887 and 4894.
Prime Factorization of 4887
3 | 4887 |
3 | 1629 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 4887 are 3,181. Prime factorization of 4887 in exponential form is:
4887 = 33×1811
Prime Factorization of 4894
2 | 4894 |
2447 | 2447 |
1 |
Prime factors of 4894 are 2,2447. Prime factorization of 4894 in exponential form is:
4894 = 21×24471
Now multiplying the highest exponent prime factors to calculate the LCM of 4887 and 4894.
LCM(4887,4894) = 21×33×1811×24471
LCM(4887,4894) = 23916978
Factors of 4887
List of positive integer factors of 4887 that divides 4887 without a remainder.
1, 3, 9, 27, 181, 543, 1629, 4887
Factors of 4894
List of positive integer factors of 4894 that divides 4894 without a remainder.
1, 2, 2447, 4894
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4887 and 4894, than apply into the LCM equation.
GCF(4887,4894) = 1
LCM(4887,4894) = ( 4887 × 4894) / 1
LCM(4887,4894) = 23916978 / 1
LCM(4887,4894) = 23916978
(i) The LCM of 4894 and 4887 is associative
LCM of 4887 and 4894 = LCM of 4894 and 4887
1. What is the LCM of 4887 and 4894?
Answer: LCM of 4887 and 4894 is 23916978.
2. What are the Factors of 4887?
Answer: Factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887. There are 8 integers that are factors of 4887. The greatest factor of 4887 is 4887.
3. What are the Factors of 4894?
Answer: Factors of 4894 are 1, 2, 2447, 4894. There are 4 integers that are factors of 4894. The greatest factor of 4894 is 4894.
4. How to Find the LCM of 4887 and 4894?
Answer:
Least Common Multiple of 4887 and 4894 = 23916978
Step 1: Find the prime factorization of 4887
4887 = 3 x 3 x 3 x 181
Step 2: Find the prime factorization of 4894
4894 = 2 x 2447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23916978 = 2 x 3 x 3 x 3 x 181 x 2447
Step 4: Therefore, the least common multiple of 4887 and 4894 is 23916978.