Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4790 and 4793 the smallest integer that is 22958470 that is divisible by both numbers.
Least Common Multiple (LCM) of 4790 and 4793 is 22958470.
LCM(4790,4793) = 22958470
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 4790 and 4793. First we will calculate the prime factors of 4790 and 4793.
Prime Factorization of 4790
2 | 4790 |
5 | 2395 |
479 | 479 |
1 |
Prime factors of 4790 are 2, 5,479. Prime factorization of 4790 in exponential form is:
4790 = 21×51×4791
Prime Factorization of 4793
4793 | 4793 |
1 |
Prime factors of 4793 are 4793. Prime factorization of 4793 in exponential form is:
4793 = 47931
Now multiplying the highest exponent prime factors to calculate the LCM of 4790 and 4793.
LCM(4790,4793) = 21×51×4791×47931
LCM(4790,4793) = 22958470
Factors of 4790
List of positive integer factors of 4790 that divides 4790 without a remainder.
1, 2, 5, 10, 479, 958, 2395, 4790
Factors of 4793
List of positive integer factors of 4793 that divides 4793 without a remainder.
1, 4793
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4790 and 4793, than apply into the LCM equation.
GCF(4790,4793) = 1
LCM(4790,4793) = ( 4790 × 4793) / 1
LCM(4790,4793) = 22958470 / 1
LCM(4790,4793) = 22958470
(i) The LCM of 4793 and 4790 is associative
LCM of 4790 and 4793 = LCM of 4793 and 4790
1. What is the LCM of 4790 and 4793?
Answer: LCM of 4790 and 4793 is 22958470.
2. What are the Factors of 4790?
Answer: Factors of 4790 are 1, 2, 5, 10, 479, 958, 2395, 4790. There are 8 integers that are factors of 4790. The greatest factor of 4790 is 4790.
3. What are the Factors of 4793?
Answer: Factors of 4793 are 1, 4793. There are 2 integers that are factors of 4793. The greatest factor of 4793 is 4793.
4. How to Find the LCM of 4790 and 4793?
Answer:
Least Common Multiple of 4790 and 4793 = 22958470
Step 1: Find the prime factorization of 4790
4790 = 2 x 5 x 479
Step 2: Find the prime factorization of 4793
4793 = 4793
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22958470 = 2 x 5 x 479 x 4793
Step 4: Therefore, the least common multiple of 4790 and 4793 is 22958470.