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