Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4615 and 4622 the smallest integer that is 21330530 that is divisible by both numbers.
Least Common Multiple (LCM) of 4615 and 4622 is 21330530.
LCM(4615,4622) = 21330530
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 4615 and 4622. First we will calculate the prime factors of 4615 and 4622.
Prime Factorization of 4615
5 | 4615 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 4615 are 5, 13,71. Prime factorization of 4615 in exponential form is:
4615 = 51×131×711
Prime Factorization of 4622
2 | 4622 |
2311 | 2311 |
1 |
Prime factors of 4622 are 2,2311. Prime factorization of 4622 in exponential form is:
4622 = 21×23111
Now multiplying the highest exponent prime factors to calculate the LCM of 4615 and 4622.
LCM(4615,4622) = 21×51×131×711×23111
LCM(4615,4622) = 21330530
Factors of 4615
List of positive integer factors of 4615 that divides 4615 without a remainder.
1, 5, 13, 65, 71, 355, 923, 4615
Factors of 4622
List of positive integer factors of 4622 that divides 4622 without a remainder.
1, 2, 2311, 4622
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4615 and 4622, than apply into the LCM equation.
GCF(4615,4622) = 1
LCM(4615,4622) = ( 4615 × 4622) / 1
LCM(4615,4622) = 21330530 / 1
LCM(4615,4622) = 21330530
(i) The LCM of 4622 and 4615 is associative
LCM of 4615 and 4622 = LCM of 4622 and 4615
1. What is the LCM of 4615 and 4622?
Answer: LCM of 4615 and 4622 is 21330530.
2. What are the Factors of 4615?
Answer: Factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615. There are 8 integers that are factors of 4615. The greatest factor of 4615 is 4615.
3. What are the Factors of 4622?
Answer: Factors of 4622 are 1, 2, 2311, 4622. There are 4 integers that are factors of 4622. The greatest factor of 4622 is 4622.
4. How to Find the LCM of 4615 and 4622?
Answer:
Least Common Multiple of 4615 and 4622 = 21330530
Step 1: Find the prime factorization of 4615
4615 = 5 x 13 x 71
Step 2: Find the prime factorization of 4622
4622 = 2 x 2311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21330530 = 2 x 5 x 13 x 71 x 2311
Step 4: Therefore, the least common multiple of 4615 and 4622 is 21330530.