Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4913 and 4918 the smallest integer that is 24162134 that is divisible by both numbers.
Least Common Multiple (LCM) of 4913 and 4918 is 24162134.
LCM(4913,4918) = 24162134
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 4913 and 4918. First we will calculate the prime factors of 4913 and 4918.
Prime Factorization of 4913
17 | 4913 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 4913 are 17. Prime factorization of 4913 in exponential form is:
4913 = 173
Prime Factorization of 4918
2 | 4918 |
2459 | 2459 |
1 |
Prime factors of 4918 are 2,2459. Prime factorization of 4918 in exponential form is:
4918 = 21×24591
Now multiplying the highest exponent prime factors to calculate the LCM of 4913 and 4918.
LCM(4913,4918) = 21×173×24591
LCM(4913,4918) = 24162134
Factors of 4913
List of positive integer factors of 4913 that divides 4913 without a remainder.
1, 17, 289, 4913
Factors of 4918
List of positive integer factors of 4918 that divides 4918 without a remainder.
1, 2, 2459, 4918
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4913 and 4918, than apply into the LCM equation.
GCF(4913,4918) = 1
LCM(4913,4918) = ( 4913 × 4918) / 1
LCM(4913,4918) = 24162134 / 1
LCM(4913,4918) = 24162134
(i) The LCM of 4918 and 4913 is associative
LCM of 4913 and 4918 = LCM of 4918 and 4913
1. What is the LCM of 4913 and 4918?
Answer: LCM of 4913 and 4918 is 24162134.
2. What are the Factors of 4913?
Answer: Factors of 4913 are 1, 17, 289, 4913. There are 4 integers that are factors of 4913. The greatest factor of 4913 is 4913.
3. What are the Factors of 4918?
Answer: Factors of 4918 are 1, 2, 2459, 4918. There are 4 integers that are factors of 4918. The greatest factor of 4918 is 4918.
4. How to Find the LCM of 4913 and 4918?
Answer:
Least Common Multiple of 4913 and 4918 = 24162134
Step 1: Find the prime factorization of 4913
4913 = 17 x 17 x 17
Step 2: Find the prime factorization of 4918
4918 = 2 x 2459
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24162134 = 2 x 17 x 17 x 17 x 2459
Step 4: Therefore, the least common multiple of 4913 and 4918 is 24162134.