Least Common Multiple of 893 and 901
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 893 and 901 the smallest integer that is 804593 that is divisible by both numbers.
Least Common Multiple (LCM) of 893 and 901 is 804593.
LCM(893,901) = 804593
LCM of 893 and 901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 893 and 901 by Prime method
- Least Common Multiple of 893 and 901 with GCF Formula
LCM of 893 and 901 is 804593
Least common multiple can be found by multiplying the highest exponent prime factors of 893 and 901. First we will calculate the prime factors of 893 and 901.
Prime Factorization of 893
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 893 are 19,47. Prime factorization of 893 in exponential form is:
893 = 191×471
Prime Factorization of 901
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:
901 = 171×531
Now multiplying the highest exponent prime factors to calculate the LCM of 893 and 901.
LCM(893,901) = 171×191×471×531
LCM(893,901) = 804593
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Least Common Multiple of 893 and 901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 893 and 901, than apply into the LCM equation.
GCF(893,901) = 1
LCM(893,901) = ( 893 × 901) / 1
LCM(893,901) = 804593 / 1
LCM(893,901) = 804593
Properties of LCM 893 and 901
(i) The LCM of 901 and 893 is associative
LCM of 893 and 901 = LCM of 901 and 893
Related Least Common Multiples of 893
Related Least Common Multiples of 901
Frequently Asked Questions on LCM of 893 and 901
1. What is the LCM of 893 and 901?
Answer: LCM of 893 and 901 is 804593.
2. What are the Factors of 893?
Answer: Factors of 893 are 1, 19, 47, 893. There are 4 integers that are factors of 893. The greatest factor of 893 is 893.
3. What are the Factors of 901?
Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.
4. How to Find the LCM of 893 and 901?
Answer:
Least Common Multiple of 893 and 901 = 804593
Step 1: Find the prime factorization of 893
893 = 19 x 47
Step 2: Find the prime factorization of 901
901 = 17 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 804593 = 17 x 19 x 47 x 53
Step 4: Therefore, the least common multiple of 893 and 901 is 804593.