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 4917 the smallest integer that is 24157221 that is divisible by both numbers.
Least Common Multiple (LCM) of 4913 and 4917 is 24157221.
LCM(4913,4917) = 24157221
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 4917. First we will calculate the prime factors of 4913 and 4917.
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 4917
3 | 4917 |
11 | 1639 |
149 | 149 |
1 |
Prime factors of 4917 are 3, 11,149. Prime factorization of 4917 in exponential form is:
4917 = 31×111×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 4913 and 4917.
LCM(4913,4917) = 31×111×173×1491
LCM(4913,4917) = 24157221
Factors of 4913
List of positive integer factors of 4913 that divides 4913 without a remainder.
1, 17, 289, 4913
Factors of 4917
List of positive integer factors of 4917 that divides 4917 without a remainder.
1, 3, 11, 33, 149, 447, 1639, 4917
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4913 and 4917, than apply into the LCM equation.
GCF(4913,4917) = 1
LCM(4913,4917) = ( 4913 × 4917) / 1
LCM(4913,4917) = 24157221 / 1
LCM(4913,4917) = 24157221
(i) The LCM of 4917 and 4913 is associative
LCM of 4913 and 4917 = LCM of 4917 and 4913
1. What is the LCM of 4913 and 4917?
Answer: LCM of 4913 and 4917 is 24157221.
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 4917?
Answer: Factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917. There are 8 integers that are factors of 4917. The greatest factor of 4917 is 4917.
4. How to Find the LCM of 4913 and 4917?
Answer:
Least Common Multiple of 4913 and 4917 = 24157221
Step 1: Find the prime factorization of 4913
4913 = 17 x 17 x 17
Step 2: Find the prime factorization of 4917
4917 = 3 x 11 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24157221 = 3 x 11 x 17 x 17 x 17 x 149
Step 4: Therefore, the least common multiple of 4913 and 4917 is 24157221.