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 4791 the smallest integer that is 22948890 that is divisible by both numbers.
Least Common Multiple (LCM) of 4790 and 4791 is 22948890.
LCM(4790,4791) = 22948890
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 4791. First we will calculate the prime factors of 4790 and 4791.
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 4791
3 | 4791 |
1597 | 1597 |
1 |
Prime factors of 4791 are 3,1597. Prime factorization of 4791 in exponential form is:
4791 = 31×15971
Now multiplying the highest exponent prime factors to calculate the LCM of 4790 and 4791.
LCM(4790,4791) = 21×31×51×4791×15971
LCM(4790,4791) = 22948890
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 4791
List of positive integer factors of 4791 that divides 4791 without a remainder.
1, 3, 1597, 4791
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4790 and 4791, than apply into the LCM equation.
GCF(4790,4791) = 1
LCM(4790,4791) = ( 4790 × 4791) / 1
LCM(4790,4791) = 22948890 / 1
LCM(4790,4791) = 22948890
(i) The LCM of 4791 and 4790 is associative
LCM of 4790 and 4791 = LCM of 4791 and 4790
1. What is the LCM of 4790 and 4791?
Answer: LCM of 4790 and 4791 is 22948890.
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 4791?
Answer: Factors of 4791 are 1, 3, 1597, 4791. There are 4 integers that are factors of 4791. The greatest factor of 4791 is 4791.
4. How to Find the LCM of 4790 and 4791?
Answer:
Least Common Multiple of 4790 and 4791 = 22948890
Step 1: Find the prime factorization of 4790
4790 = 2 x 5 x 479
Step 2: Find the prime factorization of 4791
4791 = 3 x 1597
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22948890 = 2 x 3 x 5 x 479 x 1597
Step 4: Therefore, the least common multiple of 4790 and 4791 is 22948890.