Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 621 and 622 the smallest integer that is 386262 that is divisible by both numbers.
Least Common Multiple (LCM) of 621 and 622 is 386262.
LCM(621,622) = 386262
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 621 and 622. First we will calculate the prime factors of 621 and 622.
Prime Factorization of 621
3 | 621 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 621 are 3,23. Prime factorization of 621 in exponential form is:
621 = 33×231
Prime Factorization of 622
2 | 622 |
311 | 311 |
1 |
Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:
622 = 21×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 621 and 622.
LCM(621,622) = 21×33×231×3111
LCM(621,622) = 386262
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1, 2, 311, 622
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 621 and 622, than apply into the LCM equation.
GCF(621,622) = 1
LCM(621,622) = ( 621 × 622) / 1
LCM(621,622) = 386262 / 1
LCM(621,622) = 386262
(i) The LCM of 622 and 621 is associative
LCM of 621 and 622 = LCM of 622 and 621
1. What is the LCM of 621 and 622?
Answer: LCM of 621 and 622 is 386262.
2. What are the Factors of 621?
Answer: Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621. There are 8 integers that are factors of 621. The greatest factor of 621 is 621.
3. What are the Factors of 622?
Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.
4. How to Find the LCM of 621 and 622?
Answer:
Least Common Multiple of 621 and 622 = 386262
Step 1: Find the prime factorization of 621
621 = 3 x 3 x 3 x 23
Step 2: Find the prime factorization of 622
622 = 2 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 386262 = 2 x 3 x 3 x 3 x 23 x 311
Step 4: Therefore, the least common multiple of 621 and 622 is 386262.