Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4423 and 4424 the smallest integer that is 19567352 that is divisible by both numbers.
Least Common Multiple (LCM) of 4423 and 4424 is 19567352.
LCM(4423,4424) = 19567352
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 4423 and 4424. First we will calculate the prime factors of 4423 and 4424.
Prime Factorization of 4423
4423 | 4423 |
1 |
Prime factors of 4423 are 4423. Prime factorization of 4423 in exponential form is:
4423 = 44231
Prime Factorization of 4424
2 | 4424 |
2 | 2212 |
2 | 1106 |
7 | 553 |
79 | 79 |
1 |
Prime factors of 4424 are 2, 7,79. Prime factorization of 4424 in exponential form is:
4424 = 23×71×791
Now multiplying the highest exponent prime factors to calculate the LCM of 4423 and 4424.
LCM(4423,4424) = 23×71×791×44231
LCM(4423,4424) = 19567352
Factors of 4423
List of positive integer factors of 4423 that divides 4423 without a remainder.
1, 4423
Factors of 4424
List of positive integer factors of 4424 that divides 4424 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4423 and 4424, than apply into the LCM equation.
GCF(4423,4424) = 1
LCM(4423,4424) = ( 4423 × 4424) / 1
LCM(4423,4424) = 19567352 / 1
LCM(4423,4424) = 19567352
(i) The LCM of 4424 and 4423 is associative
LCM of 4423 and 4424 = LCM of 4424 and 4423
1. What is the LCM of 4423 and 4424?
Answer: LCM of 4423 and 4424 is 19567352.
2. What are the Factors of 4423?
Answer: Factors of 4423 are 1, 4423. There are 2 integers that are factors of 4423. The greatest factor of 4423 is 4423.
3. What are the Factors of 4424?
Answer: Factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424. There are 16 integers that are factors of 4424. The greatest factor of 4424 is 4424.
4. How to Find the LCM of 4423 and 4424?
Answer:
Least Common Multiple of 4423 and 4424 = 19567352
Step 1: Find the prime factorization of 4423
4423 = 4423
Step 2: Find the prime factorization of 4424
4424 = 2 x 2 x 2 x 7 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19567352 = 2 x 2 x 2 x 7 x 79 x 4423
Step 4: Therefore, the least common multiple of 4423 and 4424 is 19567352.