Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4622 and 4630 the smallest integer that is 10699930 that is divisible by both numbers.
Least Common Multiple (LCM) of 4622 and 4630 is 10699930.
LCM(4622,4630) = 10699930
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 4622 and 4630. First we will calculate the prime factors of 4622 and 4630.
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
Prime Factorization of 4630
2 | 4630 |
5 | 2315 |
463 | 463 |
1 |
Prime factors of 4630 are 2, 5,463. Prime factorization of 4630 in exponential form is:
4630 = 21×51×4631
Now multiplying the highest exponent prime factors to calculate the LCM of 4622 and 4630.
LCM(4622,4630) = 21×51×4631×23111
LCM(4622,4630) = 10699930
Factors of 4622
List of positive integer factors of 4622 that divides 4622 without a remainder.
1, 2, 2311, 4622
Factors of 4630
List of positive integer factors of 4630 that divides 4630 without a remainder.
1, 2, 5, 10, 463, 926, 2315, 4630
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4622 and 4630, than apply into the LCM equation.
GCF(4622,4630) = 2
LCM(4622,4630) = ( 4622 × 4630) / 2
LCM(4622,4630) = 21399860 / 2
LCM(4622,4630) = 10699930
(i) The LCM of 4630 and 4622 is associative
LCM of 4622 and 4630 = LCM of 4630 and 4622
1. What is the LCM of 4622 and 4630?
Answer: LCM of 4622 and 4630 is 10699930.
2. 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.
3. What are the Factors of 4630?
Answer: Factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630. There are 8 integers that are factors of 4630. The greatest factor of 4630 is 4630.
4. How to Find the LCM of 4622 and 4630?
Answer:
Least Common Multiple of 4622 and 4630 = 10699930
Step 1: Find the prime factorization of 4622
4622 = 2 x 2311
Step 2: Find the prime factorization of 4630
4630 = 2 x 5 x 463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10699930 = 2 x 5 x 463 x 2311
Step 4: Therefore, the least common multiple of 4622 and 4630 is 10699930.