Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4478 and 4483 the smallest integer that is 20074874 that is divisible by both numbers.
Least Common Multiple (LCM) of 4478 and 4483 is 20074874.
LCM(4478,4483) = 20074874
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 4478 and 4483. First we will calculate the prime factors of 4478 and 4483.
Prime Factorization of 4478
2 | 4478 |
2239 | 2239 |
1 |
Prime factors of 4478 are 2,2239. Prime factorization of 4478 in exponential form is:
4478 = 21×22391
Prime Factorization of 4483
4483 | 4483 |
1 |
Prime factors of 4483 are 4483. Prime factorization of 4483 in exponential form is:
4483 = 44831
Now multiplying the highest exponent prime factors to calculate the LCM of 4478 and 4483.
LCM(4478,4483) = 21×22391×44831
LCM(4478,4483) = 20074874
Factors of 4478
List of positive integer factors of 4478 that divides 4478 without a remainder.
1, 2, 2239, 4478
Factors of 4483
List of positive integer factors of 4483 that divides 4483 without a remainder.
1, 4483
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4478 and 4483, than apply into the LCM equation.
GCF(4478,4483) = 1
LCM(4478,4483) = ( 4478 × 4483) / 1
LCM(4478,4483) = 20074874 / 1
LCM(4478,4483) = 20074874
(i) The LCM of 4483 and 4478 is associative
LCM of 4478 and 4483 = LCM of 4483 and 4478
1. What is the LCM of 4478 and 4483?
Answer: LCM of 4478 and 4483 is 20074874.
2. What are the Factors of 4478?
Answer: Factors of 4478 are 1, 2, 2239, 4478. There are 4 integers that are factors of 4478. The greatest factor of 4478 is 4478.
3. What are the Factors of 4483?
Answer: Factors of 4483 are 1, 4483. There are 2 integers that are factors of 4483. The greatest factor of 4483 is 4483.
4. How to Find the LCM of 4478 and 4483?
Answer:
Least Common Multiple of 4478 and 4483 = 20074874
Step 1: Find the prime factorization of 4478
4478 = 2 x 2239
Step 2: Find the prime factorization of 4483
4483 = 4483
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20074874 = 2 x 2239 x 4483
Step 4: Therefore, the least common multiple of 4478 and 4483 is 20074874.