Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4877 and 4882 the smallest integer that is 23809514 that is divisible by both numbers.
Least Common Multiple (LCM) of 4877 and 4882 is 23809514.
LCM(4877,4882) = 23809514
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 4877 and 4882. First we will calculate the prime factors of 4877 and 4882.
Prime Factorization of 4877
4877 | 4877 |
1 |
Prime factors of 4877 are 4877. Prime factorization of 4877 in exponential form is:
4877 = 48771
Prime Factorization of 4882
2 | 4882 |
2441 | 2441 |
1 |
Prime factors of 4882 are 2,2441. Prime factorization of 4882 in exponential form is:
4882 = 21×24411
Now multiplying the highest exponent prime factors to calculate the LCM of 4877 and 4882.
LCM(4877,4882) = 21×24411×48771
LCM(4877,4882) = 23809514
Factors of 4877
List of positive integer factors of 4877 that divides 4877 without a remainder.
1, 4877
Factors of 4882
List of positive integer factors of 4882 that divides 4882 without a remainder.
1, 2, 2441, 4882
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4877 and 4882, than apply into the LCM equation.
GCF(4877,4882) = 1
LCM(4877,4882) = ( 4877 × 4882) / 1
LCM(4877,4882) = 23809514 / 1
LCM(4877,4882) = 23809514
(i) The LCM of 4882 and 4877 is associative
LCM of 4877 and 4882 = LCM of 4882 and 4877
1. What is the LCM of 4877 and 4882?
Answer: LCM of 4877 and 4882 is 23809514.
2. What are the Factors of 4877?
Answer: Factors of 4877 are 1, 4877. There are 2 integers that are factors of 4877. The greatest factor of 4877 is 4877.
3. What are the Factors of 4882?
Answer: Factors of 4882 are 1, 2, 2441, 4882. There are 4 integers that are factors of 4882. The greatest factor of 4882 is 4882.
4. How to Find the LCM of 4877 and 4882?
Answer:
Least Common Multiple of 4877 and 4882 = 23809514
Step 1: Find the prime factorization of 4877
4877 = 4877
Step 2: Find the prime factorization of 4882
4882 = 2 x 2441
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23809514 = 2 x 2441 x 4877
Step 4: Therefore, the least common multiple of 4877 and 4882 is 23809514.