Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5895 and 5901 the smallest integer that is 11595465 that is divisible by both numbers.
Least Common Multiple (LCM) of 5895 and 5901 is 11595465.
LCM(5895,5901) = 11595465
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 5895 and 5901. First we will calculate the prime factors of 5895 and 5901.
Prime Factorization of 5895
3 | 5895 |
3 | 1965 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 5895 are 3, 5,131. Prime factorization of 5895 in exponential form is:
5895 = 32×51×1311
Prime Factorization of 5901
3 | 5901 |
7 | 1967 |
281 | 281 |
1 |
Prime factors of 5901 are 3, 7,281. Prime factorization of 5901 in exponential form is:
5901 = 31×71×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 5895 and 5901.
LCM(5895,5901) = 32×51×71×1311×2811
LCM(5895,5901) = 11595465
Factors of 5895
List of positive integer factors of 5895 that divides 5895 without a remainder.
1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895
Factors of 5901
List of positive integer factors of 5901 that divides 5901 without a remainder.
1, 3, 7, 21, 281, 843, 1967, 5901
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5895 and 5901, than apply into the LCM equation.
GCF(5895,5901) = 3
LCM(5895,5901) = ( 5895 × 5901) / 3
LCM(5895,5901) = 34786395 / 3
LCM(5895,5901) = 11595465
(i) The LCM of 5901 and 5895 is associative
LCM of 5895 and 5901 = LCM of 5901 and 5895
1. What is the LCM of 5895 and 5901?
Answer: LCM of 5895 and 5901 is 11595465.
2. What are the Factors of 5895?
Answer: Factors of 5895 are 1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895. There are 12 integers that are factors of 5895. The greatest factor of 5895 is 5895.
3. What are the Factors of 5901?
Answer: Factors of 5901 are 1, 3, 7, 21, 281, 843, 1967, 5901. There are 8 integers that are factors of 5901. The greatest factor of 5901 is 5901.
4. How to Find the LCM of 5895 and 5901?
Answer:
Least Common Multiple of 5895 and 5901 = 11595465
Step 1: Find the prime factorization of 5895
5895 = 3 x 3 x 5 x 131
Step 2: Find the prime factorization of 5901
5901 = 3 x 7 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11595465 = 3 x 3 x 5 x 7 x 131 x 281
Step 4: Therefore, the least common multiple of 5895 and 5901 is 11595465.