Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5147 and 5155 the smallest integer that is 26532785 that is divisible by both numbers.
Least Common Multiple (LCM) of 5147 and 5155 is 26532785.
LCM(5147,5155) = 26532785
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 5147 and 5155. First we will calculate the prime factors of 5147 and 5155.
Prime Factorization of 5147
5147 | 5147 |
1 |
Prime factors of 5147 are 5147. Prime factorization of 5147 in exponential form is:
5147 = 51471
Prime Factorization of 5155
5 | 5155 |
1031 | 1031 |
1 |
Prime factors of 5155 are 5,1031. Prime factorization of 5155 in exponential form is:
5155 = 51×10311
Now multiplying the highest exponent prime factors to calculate the LCM of 5147 and 5155.
LCM(5147,5155) = 51×10311×51471
LCM(5147,5155) = 26532785
Factors of 5147
List of positive integer factors of 5147 that divides 5147 without a remainder.
1, 5147
Factors of 5155
List of positive integer factors of 5155 that divides 5155 without a remainder.
1, 5, 1031, 5155
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5147 and 5155, than apply into the LCM equation.
GCF(5147,5155) = 1
LCM(5147,5155) = ( 5147 × 5155) / 1
LCM(5147,5155) = 26532785 / 1
LCM(5147,5155) = 26532785
(i) The LCM of 5155 and 5147 is associative
LCM of 5147 and 5155 = LCM of 5155 and 5147
1. What is the LCM of 5147 and 5155?
Answer: LCM of 5147 and 5155 is 26532785.
2. What are the Factors of 5147?
Answer: Factors of 5147 are 1, 5147. There are 2 integers that are factors of 5147. The greatest factor of 5147 is 5147.
3. What are the Factors of 5155?
Answer: Factors of 5155 are 1, 5, 1031, 5155. There are 4 integers that are factors of 5155. The greatest factor of 5155 is 5155.
4. How to Find the LCM of 5147 and 5155?
Answer:
Least Common Multiple of 5147 and 5155 = 26532785
Step 1: Find the prime factorization of 5147
5147 = 5147
Step 2: Find the prime factorization of 5155
5155 = 5 x 1031
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26532785 = 5 x 1031 x 5147
Step 4: Therefore, the least common multiple of 5147 and 5155 is 26532785.