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 623 the smallest integer that is 386883 that is divisible by both numbers.
Least Common Multiple (LCM) of 621 and 623 is 386883.
LCM(621,623) = 386883
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 623. First we will calculate the prime factors of 621 and 623.
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 623
7 | 623 |
89 | 89 |
1 |
Prime factors of 623 are 7,89. Prime factorization of 623 in exponential form is:
623 = 71×891
Now multiplying the highest exponent prime factors to calculate the LCM of 621 and 623.
LCM(621,623) = 33×71×231×891
LCM(621,623) = 386883
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 623
List of positive integer factors of 623 that divides 623 without a remainder.
1, 7, 89, 623
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 621 and 623, than apply into the LCM equation.
GCF(621,623) = 1
LCM(621,623) = ( 621 × 623) / 1
LCM(621,623) = 386883 / 1
LCM(621,623) = 386883
(i) The LCM of 623 and 621 is associative
LCM of 621 and 623 = LCM of 623 and 621
1. What is the LCM of 621 and 623?
Answer: LCM of 621 and 623 is 386883.
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 623?
Answer: Factors of 623 are 1, 7, 89, 623. There are 4 integers that are factors of 623. The greatest factor of 623 is 623.
4. How to Find the LCM of 621 and 623?
Answer:
Least Common Multiple of 621 and 623 = 386883
Step 1: Find the prime factorization of 621
621 = 3 x 3 x 3 x 23
Step 2: Find the prime factorization of 623
623 = 7 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 386883 = 3 x 3 x 3 x 7 x 23 x 89
Step 4: Therefore, the least common multiple of 621 and 623 is 386883.