Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4895 and 4903 the smallest integer that is 24000185 that is divisible by both numbers.
Least Common Multiple (LCM) of 4895 and 4903 is 24000185.
LCM(4895,4903) = 24000185
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 4895 and 4903. First we will calculate the prime factors of 4895 and 4903.
Prime Factorization of 4895
5 | 4895 |
11 | 979 |
89 | 89 |
1 |
Prime factors of 4895 are 5, 11,89. Prime factorization of 4895 in exponential form is:
4895 = 51×111×891
Prime Factorization of 4903
4903 | 4903 |
1 |
Prime factors of 4903 are 4903. Prime factorization of 4903 in exponential form is:
4903 = 49031
Now multiplying the highest exponent prime factors to calculate the LCM of 4895 and 4903.
LCM(4895,4903) = 51×111×891×49031
LCM(4895,4903) = 24000185
Factors of 4895
List of positive integer factors of 4895 that divides 4895 without a remainder.
1, 5, 11, 55, 89, 445, 979, 4895
Factors of 4903
List of positive integer factors of 4903 that divides 4903 without a remainder.
1, 4903
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4895 and 4903, than apply into the LCM equation.
GCF(4895,4903) = 1
LCM(4895,4903) = ( 4895 × 4903) / 1
LCM(4895,4903) = 24000185 / 1
LCM(4895,4903) = 24000185
(i) The LCM of 4903 and 4895 is associative
LCM of 4895 and 4903 = LCM of 4903 and 4895
1. What is the LCM of 4895 and 4903?
Answer: LCM of 4895 and 4903 is 24000185.
2. What are the Factors of 4895?
Answer: Factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895. There are 8 integers that are factors of 4895. The greatest factor of 4895 is 4895.
3. What are the Factors of 4903?
Answer: Factors of 4903 are 1, 4903. There are 2 integers that are factors of 4903. The greatest factor of 4903 is 4903.
4. How to Find the LCM of 4895 and 4903?
Answer:
Least Common Multiple of 4895 and 4903 = 24000185
Step 1: Find the prime factorization of 4895
4895 = 5 x 11 x 89
Step 2: Find the prime factorization of 4903
4903 = 4903
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24000185 = 5 x 11 x 89 x 4903
Step 4: Therefore, the least common multiple of 4895 and 4903 is 24000185.