Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4421 and 4427 the smallest integer that is 19571767 that is divisible by both numbers.
Least Common Multiple (LCM) of 4421 and 4427 is 19571767.
LCM(4421,4427) = 19571767
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 4421 and 4427. First we will calculate the prime factors of 4421 and 4427.
Prime Factorization of 4421
4421 | 4421 |
1 |
Prime factors of 4421 are 4421. Prime factorization of 4421 in exponential form is:
4421 = 44211
Prime Factorization of 4427
19 | 4427 |
233 | 233 |
1 |
Prime factors of 4427 are 19,233. Prime factorization of 4427 in exponential form is:
4427 = 191×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 4421 and 4427.
LCM(4421,4427) = 191×2331×44211
LCM(4421,4427) = 19571767
Factors of 4421
List of positive integer factors of 4421 that divides 4421 without a remainder.
1, 4421
Factors of 4427
List of positive integer factors of 4427 that divides 4427 without a remainder.
1, 19, 233, 4427
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4421 and 4427, than apply into the LCM equation.
GCF(4421,4427) = 1
LCM(4421,4427) = ( 4421 × 4427) / 1
LCM(4421,4427) = 19571767 / 1
LCM(4421,4427) = 19571767
(i) The LCM of 4427 and 4421 is associative
LCM of 4421 and 4427 = LCM of 4427 and 4421
1. What is the LCM of 4421 and 4427?
Answer: LCM of 4421 and 4427 is 19571767.
2. 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.
3. What are the Factors of 4427?
Answer: Factors of 4427 are 1, 19, 233, 4427. There are 4 integers that are factors of 4427. The greatest factor of 4427 is 4427.
4. How to Find the LCM of 4421 and 4427?
Answer:
Least Common Multiple of 4421 and 4427 = 19571767
Step 1: Find the prime factorization of 4421
4421 = 4421
Step 2: Find the prime factorization of 4427
4427 = 19 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19571767 = 19 x 233 x 4421
Step 4: Therefore, the least common multiple of 4421 and 4427 is 19571767.