Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4415 and 4421 the smallest integer that is 19518715 that is divisible by both numbers.
Least Common Multiple (LCM) of 4415 and 4421 is 19518715.
LCM(4415,4421) = 19518715
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 4415 and 4421. First we will calculate the prime factors of 4415 and 4421.
Prime Factorization of 4415
5 | 4415 |
883 | 883 |
1 |
Prime factors of 4415 are 5,883. Prime factorization of 4415 in exponential form is:
4415 = 51×8831
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 4415 and 4421.
LCM(4415,4421) = 51×8831×44211
LCM(4415,4421) = 19518715
Factors of 4415
List of positive integer factors of 4415 that divides 4415 without a remainder.
1, 5, 883, 4415
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 4415 and 4421, than apply into the LCM equation.
GCF(4415,4421) = 1
LCM(4415,4421) = ( 4415 × 4421) / 1
LCM(4415,4421) = 19518715 / 1
LCM(4415,4421) = 19518715
(i) The LCM of 4421 and 4415 is associative
LCM of 4415 and 4421 = LCM of 4421 and 4415
1. What is the LCM of 4415 and 4421?
Answer: LCM of 4415 and 4421 is 19518715.
2. What are the Factors of 4415?
Answer: Factors of 4415 are 1, 5, 883, 4415. There are 4 integers that are factors of 4415. The greatest factor of 4415 is 4415.
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 4415 and 4421?
Answer:
Least Common Multiple of 4415 and 4421 = 19518715
Step 1: Find the prime factorization of 4415
4415 = 5 x 883
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 = 19518715 = 5 x 883 x 4421
Step 4: Therefore, the least common multiple of 4415 and 4421 is 19518715.