Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4479 and 4483 the smallest integer that is 20079357 that is divisible by both numbers.
Least Common Multiple (LCM) of 4479 and 4483 is 20079357.
LCM(4479,4483) = 20079357
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 4479 and 4483. First we will calculate the prime factors of 4479 and 4483.
Prime Factorization of 4479
3 | 4479 |
1493 | 1493 |
1 |
Prime factors of 4479 are 3,1493. Prime factorization of 4479 in exponential form is:
4479 = 31×14931
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 4479 and 4483.
LCM(4479,4483) = 31×14931×44831
LCM(4479,4483) = 20079357
Factors of 4479
List of positive integer factors of 4479 that divides 4479 without a remainder.
1, 3, 1493, 4479
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 4479 and 4483, than apply into the LCM equation.
GCF(4479,4483) = 1
LCM(4479,4483) = ( 4479 × 4483) / 1
LCM(4479,4483) = 20079357 / 1
LCM(4479,4483) = 20079357
(i) The LCM of 4483 and 4479 is associative
LCM of 4479 and 4483 = LCM of 4483 and 4479
1. What is the LCM of 4479 and 4483?
Answer: LCM of 4479 and 4483 is 20079357.
2. What are the Factors of 4479?
Answer: Factors of 4479 are 1, 3, 1493, 4479. There are 4 integers that are factors of 4479. The greatest factor of 4479 is 4479.
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 4479 and 4483?
Answer:
Least Common Multiple of 4479 and 4483 = 20079357
Step 1: Find the prime factorization of 4479
4479 = 3 x 1493
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 = 20079357 = 3 x 1493 x 4483
Step 4: Therefore, the least common multiple of 4479 and 4483 is 20079357.