Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4413 and 4421 the smallest integer that is 19509873 that is divisible by both numbers.
Least Common Multiple (LCM) of 4413 and 4421 is 19509873.
LCM(4413,4421) = 19509873
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 4413 and 4421. First we will calculate the prime factors of 4413 and 4421.
Prime Factorization of 4413
3 | 4413 |
1471 | 1471 |
1 |
Prime factors of 4413 are 3,1471. Prime factorization of 4413 in exponential form is:
4413 = 31×14711
Prime Factorization of 4421
4421 | 4421 |
1 |
Prime factors of 4421 are 4421. Prime factorization of 4421 in exponential form is:
4421 = 44211
Now multiplying the highest exponent prime factors to calculate the LCM of 4413 and 4421.
LCM(4413,4421) = 31×14711×44211
LCM(4413,4421) = 19509873
Factors of 4413
List of positive integer factors of 4413 that divides 4413 without a remainder.
1, 3, 1471, 4413
Factors of 4421
List of positive integer factors of 4421 that divides 4421 without a remainder.
1, 4421
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4413 and 4421, than apply into the LCM equation.
GCF(4413,4421) = 1
LCM(4413,4421) = ( 4413 × 4421) / 1
LCM(4413,4421) = 19509873 / 1
LCM(4413,4421) = 19509873
(i) The LCM of 4421 and 4413 is associative
LCM of 4413 and 4421 = LCM of 4421 and 4413
1. What is the LCM of 4413 and 4421?
Answer: LCM of 4413 and 4421 is 19509873.
2. What are the Factors of 4413?
Answer: Factors of 4413 are 1, 3, 1471, 4413. There are 4 integers that are factors of 4413. The greatest factor of 4413 is 4413.
3. What are the Factors of 4421?
Answer: Factors of 4421 are 1, 4421. There are 2 integers that are factors of 4421. The greatest factor of 4421 is 4421.
4. How to Find the LCM of 4413 and 4421?
Answer:
Least Common Multiple of 4413 and 4421 = 19509873
Step 1: Find the prime factorization of 4413
4413 = 3 x 1471
Step 2: Find the prime factorization of 4421
4421 = 4421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19509873 = 3 x 1471 x 4421
Step 4: Therefore, the least common multiple of 4413 and 4421 is 19509873.