Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5903 and 5910 the smallest integer that is 34886730 that is divisible by both numbers.
Least Common Multiple (LCM) of 5903 and 5910 is 34886730.
LCM(5903,5910) = 34886730
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 5903 and 5910. First we will calculate the prime factors of 5903 and 5910.
Prime Factorization of 5903
5903 | 5903 |
1 |
Prime factors of 5903 are 5903. Prime factorization of 5903 in exponential form is:
5903 = 59031
Prime Factorization of 5910
2 | 5910 |
3 | 2955 |
5 | 985 |
197 | 197 |
1 |
Prime factors of 5910 are 2, 3, 5,197. Prime factorization of 5910 in exponential form is:
5910 = 21×31×51×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 5903 and 5910.
LCM(5903,5910) = 21×31×51×1971×59031
LCM(5903,5910) = 34886730
Factors of 5903
List of positive integer factors of 5903 that divides 5903 without a remainder.
1, 5903
Factors of 5910
List of positive integer factors of 5910 that divides 5910 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5903 and 5910, than apply into the LCM equation.
GCF(5903,5910) = 1
LCM(5903,5910) = ( 5903 × 5910) / 1
LCM(5903,5910) = 34886730 / 1
LCM(5903,5910) = 34886730
(i) The LCM of 5910 and 5903 is associative
LCM of 5903 and 5910 = LCM of 5910 and 5903
1. What is the LCM of 5903 and 5910?
Answer: LCM of 5903 and 5910 is 34886730.
2. What are the Factors of 5903?
Answer: Factors of 5903 are 1, 5903. There are 2 integers that are factors of 5903. The greatest factor of 5903 is 5903.
3. What are the Factors of 5910?
Answer: Factors of 5910 are 1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910. There are 16 integers that are factors of 5910. The greatest factor of 5910 is 5910.
4. How to Find the LCM of 5903 and 5910?
Answer:
Least Common Multiple of 5903 and 5910 = 34886730
Step 1: Find the prime factorization of 5903
5903 = 5903
Step 2: Find the prime factorization of 5910
5910 = 2 x 3 x 5 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34886730 = 2 x 3 x 5 x 197 x 5903
Step 4: Therefore, the least common multiple of 5903 and 5910 is 34886730.