Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 620 and 621 the smallest integer that is 385020 that is divisible by both numbers.
Least Common Multiple (LCM) of 620 and 621 is 385020.
LCM(620,621) = 385020
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 620 and 621. First we will calculate the prime factors of 620 and 621.
Prime Factorization of 620
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:
620 = 22×51×311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 620 and 621.
LCM(620,621) = 22×33×51×231×311
LCM(620,621) = 385020
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 620 and 621, than apply into the LCM equation.
GCF(620,621) = 1
LCM(620,621) = ( 620 × 621) / 1
LCM(620,621) = 385020 / 1
LCM(620,621) = 385020
(i) The LCM of 621 and 620 is associative
LCM of 620 and 621 = LCM of 621 and 620
1. What is the LCM of 620 and 621?
Answer: LCM of 620 and 621 is 385020.
2. What are the Factors of 620?
Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.
3. 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.
4. How to Find the LCM of 620 and 621?
Answer:
Least Common Multiple of 620 and 621 = 385020
Step 1: Find the prime factorization of 620
620 = 2 x 2 x 5 x 31
Step 2: Find the prime factorization of 621
621 = 3 x 3 x 3 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 385020 = 2 x 2 x 3 x 3 x 3 x 5 x 23 x 31
Step 4: Therefore, the least common multiple of 620 and 621 is 385020.